Finding the Fourth Proportional to 1,152.02, 1,589.61 and 647.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.02 : 1,589.61 = 647.78 : x
2. Step 2: Convert to fraction form
   1,152.02/1,589.61 = 647.78/x
3. Step 3: Cross multiply
   1,152.02x = 1,589.61 × 647.78
4. Step 4: Simplify right side
   1,152.02x = 1,029,717.57
5. Step 5: Solve for x
   x = 1,029,717.57/1,152.02
6. Step 6: Final answer
   x = 893.84