Finding the Fourth Proportional to 9,638.68, 13,301.74 and 5,659.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.68 : 13,301.74 = 5,659.74 : x
2. Step 2: Convert to fraction form
   9,638.68/13,301.74 = 5,659.74/x
3. Step 3: Cross multiply
   9,638.68x = 13,301.74 × 5,659.74
4. Step 4: Simplify right side
   9,638.68x = 75,284,389.95
5. Step 5: Solve for x
   x = 75,284,389.95/9,638.68
6. Step 6: Final answer
   x = 7,810.65