Finding the Fourth Proportional to 2,661.64, 3,673.52 and 1,542.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.64 : 3,673.52 = 1,542.40 : x
2. Step 2: Convert to fraction form
   2,661.64/3,673.52 = 1,542.40/x
3. Step 3: Cross multiply
   2,661.64x = 3,673.52 × 1,542.40
4. Step 4: Simplify right side
   2,661.64x = 5,666,037.25
5. Step 5: Solve for x
   x = 5,666,037.25/2,661.64
6. Step 6: Final answer
   x = 2,128.78