Finding the Fourth Proportional to 10,477.50, 14,458.95 and 5,762.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.50 : 14,458.95 = 5,762.09 : x
2. Step 2: Convert to fraction form
   10,477.50/14,458.95 = 5,762.09/x
3. Step 3: Cross multiply
   10,477.50x = 14,458.95 × 5,762.09
4. Step 4: Simplify right side
   10,477.50x = 83,313,698.91
5. Step 5: Solve for x
   x = 83,313,698.91/10,477.50
6. Step 6: Final answer
   x = 7,951.68