Finding the Fourth Proportional to 7,785.57, 10,689.83 and 7,582.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,785.57 : 10,689.83 = 7,582.62 : x
2. Step 2: Convert to fraction form
   7,785.57/10,689.83 = 7,582.62/x
3. Step 3: Cross multiply
   7,785.57x = 10,689.83 × 7,582.62
4. Step 4: Simplify right side
   7,785.57x = 81,056,880.84
5. Step 5: Solve for x
   x = 81,056,880.84/7,785.57
6. Step 6: Final answer
   x = 10,411.17