Finding the Fourth Proportional to 2,085.40, 2,876.59 and 1,587.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.40 : 2,876.59 = 1,587.85 : x
2. Step 2: Convert to fraction form
   2,085.40/2,876.59 = 1,587.85/x
3. Step 3: Cross multiply
   2,085.40x = 2,876.59 × 1,587.85
4. Step 4: Simplify right side
   2,085.40x = 4,567,599.94
5. Step 5: Solve for x
   x = 4,567,599.94/2,085.40
6. Step 6: Final answer
   x = 2,190.28