Finding the Fourth Proportional to 9,785.61, 13,503.31 and 5,536.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.61 : 13,503.31 = 5,536.49 : x
2. Step 2: Convert to fraction form
   9,785.61/13,503.31 = 5,536.49/x
3. Step 3: Cross multiply
   9,785.61x = 13,503.31 × 5,536.49
4. Step 4: Simplify right side
   9,785.61x = 74,760,859.42
5. Step 5: Solve for x
   x = 74,760,859.42/9,785.61
6. Step 6: Final answer
   x = 7,639.88