Finding the Fourth Proportional to 9,887.15, 13,642.94 and 5,694.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,887.15 : 13,642.94 = 5,694.59 : x
2. Step 2: Convert to fraction form
   9,887.15/13,642.94 = 5,694.59/x
3. Step 3: Cross multiply
   9,887.15x = 13,642.94 × 5,694.59
4. Step 4: Simplify right side
   9,887.15x = 77,690,895.72
5. Step 5: Solve for x
   x = 77,690,895.72/9,887.15
6. Step 6: Final answer
   x = 7,857.77