Finding the Fourth Proportional to 10,478.27, 14,460.06 and 5,762.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.27 : 14,460.06 = 5,762.85 : x
2. Step 2: Convert to fraction form
   10,478.27/14,460.06 = 5,762.85/x
3. Step 3: Cross multiply
   10,478.27x = 14,460.06 × 5,762.85
4. Step 4: Simplify right side
   10,478.27x = 83,331,156.77
5. Step 5: Solve for x
   x = 83,331,156.77/10,478.27
6. Step 6: Final answer
   x = 7,952.76