Finding the Fourth Proportional to 1,142.10, 1,564.52 and 1,138.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.10 : 1,564.52 = 1,138.86 : x
2. Step 2: Convert to fraction form
   1,142.10/1,564.52 = 1,138.86/x
3. Step 3: Cross multiply
   1,142.10x = 1,564.52 × 1,138.86
4. Step 4: Simplify right side
   1,142.10x = 1,781,763.55
5. Step 5: Solve for x
   x = 1,781,763.55/1,142.10
6. Step 6: Final answer
   x = 1,560.08