Finding the Fourth Proportional to 9,638.62, 13,305.62 and 5,659.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.62 : 13,305.62 = 5,659.98 : x
2. Step 2: Convert to fraction form
   9,638.62/13,305.62 = 5,659.98/x
3. Step 3: Cross multiply
   9,638.62x = 13,305.62 × 5,659.98
4. Step 4: Simplify right side
   9,638.62x = 75,309,543.09
5. Step 5: Solve for x
   x = 75,309,543.09/9,638.62
6. Step 6: Final answer
   x = 7,813.31