Finding the Fourth Proportional to 9,785.60, 13,504.01 and 5,536.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.60 : 13,504.01 = 5,536.59 : x
2. Step 2: Convert to fraction form
   9,785.60/13,504.01 = 5,536.59/x
3. Step 3: Cross multiply
   9,785.60x = 13,504.01 × 5,536.59
4. Step 4: Simplify right side
   9,785.60x = 74,766,139.04
5. Step 5: Solve for x
   x = 74,766,139.04/9,785.60
6. Step 6: Final answer
   x = 7,640.43