Finding the Fourth Proportional to 10,490.50, 14,476.89 and 5,774.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.50 : 14,476.89 = 5,774.78 : x
2. Step 2: Convert to fraction form
   10,490.50/14,476.89 = 5,774.78/x
3. Step 3: Cross multiply
   10,490.50x = 14,476.89 × 5,774.78
4. Step 4: Simplify right side
   10,490.50x = 83,600,854.83
5. Step 5: Solve for x
   x = 83,600,854.83/10,490.50
6. Step 6: Final answer
   x = 7,969.20