Finding the Fourth Proportional to 1,585.92, 2,188.62 and 1,061.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.92 : 2,188.62 = 1,061.58 : x
2. Step 2: Convert to fraction form
   1,585.92/2,188.62 = 1,061.58/x
3. Step 3: Cross multiply
   1,585.92x = 2,188.62 × 1,061.58
4. Step 4: Simplify right side
   1,585.92x = 2,323,395.22
5. Step 5: Solve for x
   x = 2,323,395.22/1,585.92
6. Step 6: Final answer
   x = 1,465.01