Finding the Fourth Proportional to 1,155.16, 1,735.98 and 578.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.16 : 1,735.98 = 578.44 : x
2. Step 2: Convert to fraction form
   1,155.16/1,735.98 = 578.44/x
3. Step 3: Cross multiply
   1,155.16x = 1,735.98 × 578.44
4. Step 4: Simplify right side
   1,155.16x = 1,004,160.27
5. Step 5: Solve for x
   x = 1,004,160.27/1,155.16
6. Step 6: Final answer
   x = 869.28