Finding the Fourth Proportional to 9,834.48, 13,588.84 and 7,861.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.48 : 13,588.84 = 7,861.32 : x
2. Step 2: Convert to fraction form
   9,834.48/13,588.84 = 7,861.32/x
3. Step 3: Cross multiply
   9,834.48x = 13,588.84 × 7,861.32
4. Step 4: Simplify right side
   9,834.48x = 106,826,151.72
5. Step 5: Solve for x
   x = 106,826,151.72/9,834.48
6. Step 6: Final answer
   x = 10,862.42