Finding the Fourth Proportional to 7,585.86, 10,456.89 and 5,989.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,585.86 : 10,456.89 = 5,989.62 : x
2. Step 2: Convert to fraction form
   7,585.86/10,456.89 = 5,989.62/x
3. Step 3: Cross multiply
   7,585.86x = 10,456.89 × 5,989.62
4. Step 4: Simplify right side
   7,585.86x = 62,632,797.48
5. Step 5: Solve for x
   x = 62,632,797.48/7,585.86
6. Step 6: Final answer
   x = 8,256.52