Finding the Fourth Proportional to 7,642.52, 10,546.29 and 4,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.52 : 10,546.29 = 4,498.50 : x
2. Step 2: Convert to fraction form
   7,642.52/10,546.29 = 4,498.50/x
3. Step 3: Cross multiply
   7,642.52x = 10,546.29 × 4,498.50
4. Step 4: Simplify right side
   7,642.52x = 47,442,485.57
5. Step 5: Solve for x
   x = 47,442,485.57/7,642.52
6. Step 6: Final answer
   x = 6,207.71