Finding the Fourth Proportional to 9,785.68, 13,500.88 and 5,806.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.68 : 13,500.88 = 5,806.15 : x
2. Step 2: Convert to fraction form
   9,785.68/13,500.88 = 5,806.15/x
3. Step 3: Cross multiply
   9,785.68x = 13,500.88 × 5,806.15
4. Step 4: Simplify right side
   9,785.68x = 78,388,086.14
5. Step 5: Solve for x
   x = 78,388,086.14/9,785.68
6. Step 6: Final answer
   x = 8,010.49