Finding the Fourth Proportional to 10,478.46, 14,460.33 and 5,762.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.46 : 14,460.33 = 5,762.77 : x
2. Step 2: Convert to fraction form
   10,478.46/14,460.33 = 5,762.77/x
3. Step 3: Cross multiply
   10,478.46x = 14,460.33 × 5,762.77
4. Step 4: Simplify right side
   10,478.46x = 83,331,555.91
5. Step 5: Solve for x
   x = 83,331,555.91/10,478.46
6. Step 6: Final answer
   x = 7,952.65