Finding the Fourth Proportional to 9,638.61, 13,301.39 and 5,659.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.61 : 13,301.39 = 5,659.77 : x
2. Step 2: Convert to fraction form
   9,638.61/13,301.39 = 5,659.77/x
3. Step 3: Cross multiply
   9,638.61x = 13,301.39 × 5,659.77
4. Step 4: Simplify right side
   9,638.61x = 75,282,779.78
5. Step 5: Solve for x
   x = 75,282,779.78/9,638.61
6. Step 6: Final answer
   x = 7,810.54