Finding the Fourth Proportional to 1,585.94, 2,188.56 and 877.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.94 : 2,188.56 = 877.72 : x
2. Step 2: Convert to fraction form
   1,585.94/2,188.56 = 877.72/x
3. Step 3: Cross multiply
   1,585.94x = 2,188.56 × 877.72
4. Step 4: Simplify right side
   1,585.94x = 1,920,948.91
5. Step 5: Solve for x
   x = 1,920,948.91/1,585.94
6. Step 6: Final answer
   x = 1,211.24