Finding the Fourth Proportional to 1,585.93, 2,188.61 and 877.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.93 : 2,188.61 = 877.83 : x
2. Step 2: Convert to fraction form
   1,585.93/2,188.61 = 877.83/x
3. Step 3: Cross multiply
   1,585.93x = 2,188.61 × 877.83
4. Step 4: Simplify right side
   1,585.93x = 1,921,220.67
5. Step 5: Solve for x
   x = 1,921,220.67/1,585.93
6. Step 6: Final answer
   x = 1,211.42