Finding the Fourth Proportional to 1,585.72, 2,186.61 and 1,089.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.72 : 2,186.61 = 1,089.08 : x
2. Step 2: Convert to fraction form
   1,585.72/2,186.61 = 1,089.08/x
3. Step 3: Cross multiply
   1,585.72x = 2,186.61 × 1,089.08
4. Step 4: Simplify right side
   1,585.72x = 2,381,393.22
5. Step 5: Solve for x
   x = 2,381,393.22/1,585.72
6. Step 6: Final answer
   x = 1,501.77