Finding the Fourth Proportional to 1,142.82, 1,577.62 and 1,101.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.82 : 1,577.62 = 1,101.78 : x
2. Step 2: Convert to fraction form
   1,142.82/1,577.62 = 1,101.78/x
3. Step 3: Cross multiply
   1,142.82x = 1,577.62 × 1,101.78
4. Step 4: Simplify right side
   1,142.82x = 1,738,182.28
5. Step 5: Solve for x
   x = 1,738,182.28/1,142.82
6. Step 6: Final answer
   x = 1,520.97