Finding the Fourth Proportional to 9,638.88, 13,300.88 and 5,656.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.88 : 13,300.88 = 5,656.80 : x
2. Step 2: Convert to fraction form
   9,638.88/13,300.88 = 5,656.80/x
3. Step 3: Cross multiply
   9,638.88x = 13,300.88 × 5,656.80
4. Step 4: Simplify right side
   9,638.88x = 75,240,417.98
5. Step 5: Solve for x
   x = 75,240,417.98/9,638.88
6. Step 6: Final answer
   x = 7,805.93