Finding the Fourth Proportional to 1,585.77, 2,188.34 and 887.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.77 : 2,188.34 = 887.15 : x
2. Step 2: Convert to fraction form
   1,585.77/2,188.34 = 887.15/x
3. Step 3: Cross multiply
   1,585.77x = 2,188.34 × 887.15
4. Step 4: Simplify right side
   1,585.77x = 1,941,385.83
5. Step 5: Solve for x
   x = 1,941,385.83/1,585.77
6. Step 6: Final answer
   x = 1,224.25