Finding the Fourth Proportional to 9,638.12, 13,304.93 and 5,659.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.12 : 13,304.93 = 5,659.47 : x
2. Step 2: Convert to fraction form
   9,638.12/13,304.93 = 5,659.47/x
3. Step 3: Cross multiply
   9,638.12x = 13,304.93 × 5,659.47
4. Step 4: Simplify right side
   9,638.12x = 75,298,823.89
5. Step 5: Solve for x
   x = 75,298,823.89/9,638.12
6. Step 6: Final answer
   x = 7,812.61