Finding the Fourth Proportional to 1,585.31, 2,186.43 and 1,211.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.31 : 2,186.43 = 1,211.69 : x
2. Step 2: Convert to fraction form
   1,585.31/2,186.43 = 1,211.69/x
3. Step 3: Cross multiply
   1,585.31x = 2,186.43 × 1,211.69
4. Step 4: Simplify right side
   1,585.31x = 2,649,280.83
5. Step 5: Solve for x
   x = 2,649,280.83/1,585.31
6. Step 6: Final answer
   x = 1,671.15