Finding the Fourth Proportional to 2,801.84, 3,866.56 and 1,542.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,801.84 : 3,866.56 = 1,542.86 : x
2. Step 2: Convert to fraction form
   2,801.84/3,866.56 = 1,542.86/x
3. Step 3: Cross multiply
   2,801.84x = 3,866.56 × 1,542.86
4. Step 4: Simplify right side
   2,801.84x = 5,965,560.76
5. Step 5: Solve for x
   x = 5,965,560.76/2,801.84
6. Step 6: Final answer
   x = 2,129.16