Finding the Fourth Proportional to 2,082.52, 3,111.84 and 1,586.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.52 : 3,111.84 = 1,586.17 : x
2. Step 2: Convert to fraction form
   2,082.52/3,111.84 = 1,586.17/x
3. Step 3: Cross multiply
   2,082.52x = 3,111.84 × 1,586.17
4. Step 4: Simplify right side
   2,082.52x = 4,935,886.95
5. Step 5: Solve for x
   x = 4,935,886.95/2,082.52
6. Step 6: Final answer
   x = 2,370.16