Finding the Fourth Proportional to 1,155.18, 1,594.49 and 824.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.18 : 1,594.49 = 824.57 : x
2. Step 2: Convert to fraction form
   1,155.18/1,594.49 = 824.57/x
3. Step 3: Cross multiply
   1,155.18x = 1,594.49 × 824.57
4. Step 4: Simplify right side
   1,155.18x = 1,314,756.52
5. Step 5: Solve for x
   x = 1,314,756.52/1,155.18
6. Step 6: Final answer
   x = 1,138.14