Finding the Fourth Proportional to 10,490.69, 14,477.25 and 5,775.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.69 : 14,477.25 = 5,775.08 : x
2. Step 2: Convert to fraction form
   10,490.69/14,477.25 = 5,775.08/x
3. Step 3: Cross multiply
   10,490.69x = 14,477.25 × 5,775.08
4. Step 4: Simplify right side
   10,490.69x = 83,607,276.93
5. Step 5: Solve for x
   x = 83,607,276.93/10,490.69
6. Step 6: Final answer
   x = 7,969.66