Finding the Fourth Proportional to 9,638.36, 13,301.04 and 5,659.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.36 : 13,301.04 = 5,659.52 : x
2. Step 2: Convert to fraction form
   9,638.36/13,301.04 = 5,659.52/x
3. Step 3: Cross multiply
   9,638.36x = 13,301.04 × 5,659.52
4. Step 4: Simplify right side
   9,638.36x = 75,277,501.90
5. Step 5: Solve for x
   x = 75,277,501.90/9,638.36
6. Step 6: Final answer
   x = 7,810.20