Finding the Fourth Proportional to 10,477.97, 14,459.60 and 5,762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.97 : 14,459.60 = 5,762.25 : x
2. Step 2: Convert to fraction form
   10,477.97/14,459.60 = 5,762.25/x
3. Step 3: Cross multiply
   10,477.97x = 14,459.60 × 5,762.25
4. Step 4: Simplify right side
   10,477.97x = 83,319,830.10
5. Step 5: Solve for x
   x = 83,319,830.10/10,477.97
6. Step 6: Final answer
   x = 7,951.91