Finding the Fourth Proportional to 9,784.64, 13,502.72 and 5,535.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.64 : 13,502.72 = 5,535.72 : x
2. Step 2: Convert to fraction form
   9,784.64/13,502.72 = 5,535.72/x
3. Step 3: Cross multiply
   9,784.64x = 13,502.72 × 5,535.72
4. Step 4: Simplify right side
   9,784.64x = 74,747,249.48
5. Step 5: Solve for x
   x = 74,747,249.48/9,784.64
6. Step 6: Final answer
   x = 7,639.25