Finding the Fourth Proportional to 2,084.10, 2,876.43 and 1,585.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.10 : 2,876.43 = 1,585.98 : x
2. Step 2: Convert to fraction form
   2,084.10/2,876.43 = 1,585.98/x
3. Step 3: Cross multiply
   2,084.10x = 2,876.43 × 1,585.98
4. Step 4: Simplify right side
   2,084.10x = 4,561,960.45
5. Step 5: Solve for x
   x = 4,561,960.45/2,084.10
6. Step 6: Final answer
   x = 2,188.94