Finding the Fourth Proportional to 1,169.60, 1,753.72 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,169.60 : 1,753.72 = 584.72 : x
2. Step 2: Convert to fraction form
   1,169.60/1,753.72 = 584.72/x
3. Step 3: Cross multiply
   1,169.60x = 1,753.72 × 584.72
4. Step 4: Simplify right side
   1,169.60x = 1,025,435.16
5. Step 5: Solve for x
   x = 1,025,435.16/1,169.60
6. Step 6: Final answer
   x = 876.74