Finding the Fourth Proportional to 1,540.86, 2,312.86 and 1,128.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.86 : 2,312.86 = 1,128.77 : x
2. Step 2: Convert to fraction form
   1,540.86/2,312.86 = 1,128.77/x
3. Step 3: Cross multiply
   1,540.86x = 2,312.86 × 1,128.77
4. Step 4: Simplify right side
   1,540.86x = 2,610,686.98
5. Step 5: Solve for x
   x = 2,610,686.98/1,540.86
6. Step 6: Final answer
   x = 1,694.31