Finding the Fourth Proportional to 2,085.18, 2,876.16 and 1,586.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.18 : 2,876.16 = 1,586.70 : x
2. Step 2: Convert to fraction form
   2,085.18/2,876.16 = 1,586.70/x
3. Step 3: Cross multiply
   2,085.18x = 2,876.16 × 1,586.70
4. Step 4: Simplify right side
   2,085.18x = 4,563,603.07
5. Step 5: Solve for x
   x = 4,563,603.07/2,085.18
6. Step 6: Final answer
   x = 2,188.59