Finding the Fourth Proportional to 9,886.26, 13,643.02 and 5,694.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.26 : 13,643.02 = 5,694.42 : x
2. Step 2: Convert to fraction form
   9,886.26/13,643.02 = 5,694.42/x
3. Step 3: Cross multiply
   9,886.26x = 13,643.02 × 5,694.42
4. Step 4: Simplify right side
   9,886.26x = 77,689,085.95
5. Step 5: Solve for x
   x = 77,689,085.95/9,886.26
6. Step 6: Final answer
   x = 7,858.29