Finding the Fourth Proportional to 1,155.27, 1,592.06 and 840.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.27 : 1,592.06 = 840.22 : x
2. Step 2: Convert to fraction form
   1,155.27/1,592.06 = 840.22/x
3. Step 3: Cross multiply
   1,155.27x = 1,592.06 × 840.22
4. Step 4: Simplify right side
   1,155.27x = 1,337,672.47
5. Step 5: Solve for x
   x = 1,337,672.47/1,155.27
6. Step 6: Final answer
   x = 1,157.88