Finding the Fourth Proportional to 520,422.56, 780,896.16 and 205,105.76

Step by Step Solution

1. Step 1: Write the proportion equation
   520,422.56 : 780,896.16 = 205,105.76 : x
2. Step 2: Convert to fraction form
   520,422.56/780,896.16 = 205,105.76/x
3. Step 3: Cross multiply
   520,422.56x = 780,896.16 × 205,105.76
4. Step 4: Simplify right side
   520,422.56x = 160,166,300,377.88
5. Step 5: Solve for x
   x = 160,166,300,377.88/520,422.56
6. Step 6: Final answer
   x = 307,762.02