Finding the Fourth Proportional to 9,635.37, 13,291.38 and 5,655.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,635.37 : 13,291.38 = 5,655.71 : x
2. Step 2: Convert to fraction form
   9,635.37/13,291.38 = 5,655.71/x
3. Step 3: Cross multiply
   9,635.37x = 13,291.38 × 5,655.71
4. Step 4: Simplify right side
   9,635.37x = 75,172,124.32
5. Step 5: Solve for x
   x = 75,172,124.32/9,635.37
6. Step 6: Final answer
   x = 7,801.69