Finding the Fourth Proportional to 10,252.98, 14,149.76 and 5,776.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,252.98 : 14,149.76 = 5,776.25 : x
2. Step 2: Convert to fraction form
   10,252.98/14,149.76 = 5,776.25/x
3. Step 3: Cross multiply
   10,252.98x = 14,149.76 × 5,776.25
4. Step 4: Simplify right side
   10,252.98x = 81,732,451.57
5. Step 5: Solve for x
   x = 81,732,451.57/10,252.98
6. Step 6: Final answer
   x = 7,971.58