Finding the Fourth Proportional to 9,089.18, 12,545.91 and 5,896.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,089.18 : 12,545.91 = 5,896.83 : x
2. Step 2: Convert to fraction form
   9,089.18/12,545.91 = 5,896.83/x
3. Step 3: Cross multiply
   9,089.18x = 12,545.91 × 5,896.83
4. Step 4: Simplify right side
   9,089.18x = 73,981,098.47
5. Step 5: Solve for x
   x = 73,981,098.47/9,089.18
6. Step 6: Final answer
   x = 8,139.47