Finding the Fourth Proportional to 9,909.26, 13,675.10 and 5,659.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,909.26 : 13,675.10 = 5,659.42 : x
2. Step 2: Convert to fraction form
   9,909.26/13,675.10 = 5,659.42/x
3. Step 3: Cross multiply
   9,909.26x = 13,675.10 × 5,659.42
4. Step 4: Simplify right side
   9,909.26x = 77,393,145.35
5. Step 5: Solve for x
   x = 77,393,145.35/9,909.26
6. Step 6: Final answer
   x = 7,810.18