Finding the Fourth Proportional to 2,646.50, 3,652.17 and 1,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.50 : 3,652.17 = 1,542.50 : x
2. Step 2: Convert to fraction form
   2,646.50/3,652.17 = 1,542.50/x
3. Step 3: Cross multiply
   2,646.50x = 3,652.17 × 1,542.50
4. Step 4: Simplify right side
   2,646.50x = 5,633,472.23
5. Step 5: Solve for x
   x = 5,633,472.23/2,646.50
6. Step 6: Final answer
   x = 2,128.65