Finding the Fourth Proportional to 9,886.50, 13,643.37 and 5,694.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.50 : 13,643.37 = 5,694.75 : x
2. Step 2: Convert to fraction form
   9,886.50/13,643.37 = 5,694.75/x
3. Step 3: Cross multiply
   9,886.50x = 13,643.37 × 5,694.75
4. Step 4: Simplify right side
   9,886.50x = 77,695,581.31
5. Step 5: Solve for x
   x = 77,695,581.31/9,886.50
6. Step 6: Final answer
   x = 7,858.76