Finding the Fourth Proportional to 1,300.23, 1,950.56 and 520.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.23 : 1,950.56 = 520.23 : x
2. Step 2: Convert to fraction form
   1,300.23/1,950.56 = 520.23/x
3. Step 3: Cross multiply
   1,300.23x = 1,950.56 × 520.23
4. Step 4: Simplify right side
   1,300.23x = 1,014,739.83
5. Step 5: Solve for x
   x = 1,014,739.83/1,300.23
6. Step 6: Final answer
   x = 780.43