Finding the Fourth Proportional to 9,884.52, 13,639.86 and 5,693.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.52 : 13,639.86 = 5,693.08 : x
2. Step 2: Convert to fraction form
   9,884.52/13,639.86 = 5,693.08/x
3. Step 3: Cross multiply
   9,884.52x = 13,639.86 × 5,693.08
4. Step 4: Simplify right side
   9,884.52x = 77,652,814.17
5. Step 5: Solve for x
   x = 77,652,814.17/9,884.52
6. Step 6: Final answer
   x = 7,856.00