Finding the Fourth Proportional to 7,642.24, 10,548.17 and 4,659.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.24 : 10,548.17 = 4,659.72 : x
2. Step 2: Convert to fraction form
   7,642.24/10,548.17 = 4,659.72/x
3. Step 3: Cross multiply
   7,642.24x = 10,548.17 × 4,659.72
4. Step 4: Simplify right side
   7,642.24x = 49,151,512.89
5. Step 5: Solve for x
   x = 49,151,512.89/7,642.24
6. Step 6: Final answer
   x = 6,431.56