Finding the Fourth Proportional to 1,155.78, 1,733.67 and 578.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.78 : 1,733.67 = 578.52 : x
2. Step 2: Convert to fraction form
   1,155.78/1,733.67 = 578.52/x
3. Step 3: Cross multiply
   1,155.78x = 1,733.67 × 578.52
4. Step 4: Simplify right side
   1,155.78x = 1,002,962.77
5. Step 5: Solve for x
   x = 1,002,962.77/1,155.78
6. Step 6: Final answer
   x = 867.78