Finding the Fourth Proportional to 1,142.87, 1,577.89 and 933.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.87 : 1,577.89 = 933.55 : x
2. Step 2: Convert to fraction form
   1,142.87/1,577.89 = 933.55/x
3. Step 3: Cross multiply
   1,142.87x = 1,577.89 × 933.55
4. Step 4: Simplify right side
   1,142.87x = 1,473,041.54
5. Step 5: Solve for x
   x = 1,473,041.54/1,142.87
6. Step 6: Final answer
   x = 1,288.90