Finding the Fourth Proportional to 10,569.91, 14,585.91 and 5,789.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.91 : 14,585.91 = 5,789.61 : x
2. Step 2: Convert to fraction form
   10,569.91/14,585.91 = 5,789.61/x
3. Step 3: Cross multiply
   10,569.91x = 14,585.91 × 5,789.61
4. Step 4: Simplify right side
   10,569.91x = 84,446,715.64
5. Step 5: Solve for x
   x = 84,446,715.64/10,569.91
6. Step 6: Final answer
   x = 7,989.35