Finding the Fourth Proportional to 2,801.60, 3,866.10 and 1,542.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801.60 : 3,866.10 = 1,542.59 : x
2. Step 2: Convert to fraction form
   2,801.60/3,866.10 = 1,542.59/x
3. Step 3: Cross multiply
   2,801.60x = 3,866.10 × 1,542.59
4. Step 4: Simplify right side
   2,801.60x = 5,963,798.72
5. Step 5: Solve for x
   x = 5,963,798.72/2,801.60
6. Step 6: Final answer
   x = 2,128.71