Finding the Fourth Proportional to 1,585.91, 2,366.81 and 1,549.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.91 : 2,366.81 = 1,549.05 : x
2. Step 2: Convert to fraction form
   1,585.91/2,366.81 = 1,549.05/x
3. Step 3: Cross multiply
   1,585.91x = 2,366.81 × 1,549.05
4. Step 4: Simplify right side
   1,585.91x = 3,666,310.90
5. Step 5: Solve for x
   x = 3,666,310.90/1,585.91
6. Step 6: Final answer
   x = 2,311.81