Finding the Fourth Proportional to 9,784.17, 13,501.62 and 5,535.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.17 : 13,501.62 = 5,535.72 : x
2. Step 2: Convert to fraction form
   9,784.17/13,501.62 = 5,535.72/x
3. Step 3: Cross multiply
   9,784.17x = 13,501.62 × 5,535.72
4. Step 4: Simplify right side
   9,784.17x = 74,741,187.87
5. Step 5: Solve for x
   x = 74,741,187.87/9,784.17
6. Step 6: Final answer
   x = 7,638.99