Finding the Fourth Proportional to 10,252.04, 14,147.61 and 5,775.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,252.04 : 14,147.61 = 5,775.71 : x
2. Step 2: Convert to fraction form
   10,252.04/14,147.61 = 5,775.71/x
3. Step 3: Cross multiply
   10,252.04x = 14,147.61 × 5,775.71
4. Step 4: Simplify right side
   10,252.04x = 81,712,492.55
5. Step 5: Solve for x
   x = 81,712,492.55/10,252.04
6. Step 6: Final answer
   x = 7,970.36