Finding the Fourth Proportional to 10,505.73, 14,497.34 and 5,789.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.73 : 14,497.34 = 5,789.64 : x
2. Step 2: Convert to fraction form
   10,505.73/14,497.34 = 5,789.64/x
3. Step 3: Cross multiply
   10,505.73x = 14,497.34 × 5,789.64
4. Step 4: Simplify right side
   10,505.73x = 83,934,350.61
5. Step 5: Solve for x
   x = 83,934,350.61/10,505.73
6. Step 6: Final answer
   x = 7,989.39