Finding the Fourth Proportional to 10,490.88, 14,477.42 and 5,775.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.88 : 14,477.42 = 5,775.13 : x
2. Step 2: Convert to fraction form
   10,490.88/14,477.42 = 5,775.13/x
3. Step 3: Cross multiply
   10,490.88x = 14,477.42 × 5,775.13
4. Step 4: Simplify right side
   10,490.88x = 83,608,982.56
5. Step 5: Solve for x
   x = 83,608,982.56/10,490.88
6. Step 6: Final answer
   x = 7,969.68