Finding the Fourth Proportional to 2,801.48, 3,866.03 and 1,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801.48 : 3,866.03 = 1,542.50 : x
2. Step 2: Convert to fraction form
   2,801.48/3,866.03 = 1,542.50/x
3. Step 3: Cross multiply
   2,801.48x = 3,866.03 × 1,542.50
4. Step 4: Simplify right side
   2,801.48x = 5,963,324.23
5. Step 5: Solve for x
   x = 5,963,324.23/2,801.48
6. Step 6: Final answer
   x = 2,128.64