Finding the Fourth Proportional to 10,490.82, 14,477.34 and 5,775.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.82 : 14,477.34 = 5,775.12 : x
2. Step 2: Convert to fraction form
   10,490.82/14,477.34 = 5,775.12/x
3. Step 3: Cross multiply
   10,490.82x = 14,477.34 × 5,775.12
4. Step 4: Simplify right side
   10,490.82x = 83,608,375.78
5. Step 5: Solve for x
   x = 83,608,375.78/10,490.82
6. Step 6: Final answer
   x = 7,969.67