Finding the Fourth Proportional to 1,155.52, 1,732.90 and 578

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.52 : 1,732.90 = 578 : x
2. Step 2: Convert to fraction form
   1,155.52/1,732.90 = 578/x
3. Step 3: Cross multiply
   1,155.52x = 1,732.90 × 578
4. Step 4: Simplify right side
   1,155.52x = 1,001,616.20
5. Step 5: Solve for x
   x = 1,001,616.20/1,155.52
6. Step 6: Final answer
   x = 866.81