Finding the Fourth Proportional to 1,585.12, 2,186.04 and 1,061.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.12 : 2,186.04 = 1,061.86 : x
2. Step 2: Convert to fraction form
   1,585.12/2,186.04 = 1,061.86/x
3. Step 3: Cross multiply
   1,585.12x = 2,186.04 × 1,061.86
4. Step 4: Simplify right side
   1,585.12x = 2,321,268.43
5. Step 5: Solve for x
   x = 2,321,268.43/1,585.12
6. Step 6: Final answer
   x = 1,464.41