Finding the Fourth Proportional to 10,477.90, 14,459.34 and 5,762.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.90 : 14,459.34 = 5,762.17 : x
2. Step 2: Convert to fraction form
   10,477.90/14,459.34 = 5,762.17/x
3. Step 3: Cross multiply
   10,477.90x = 14,459.34 × 5,762.17
4. Step 4: Simplify right side
   10,477.90x = 83,317,175.17
5. Step 5: Solve for x
   x = 83,317,175.17/10,477.90
6. Step 6: Final answer
   x = 7,951.71