Finding the Fourth Proportional to 1,105.32, 1,659.02 and 585.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.32 : 1,659.02 = 585.93 : x
2. Step 2: Convert to fraction form
   1,105.32/1,659.02 = 585.93/x
3. Step 3: Cross multiply
   1,105.32x = 1,659.02 × 585.93
4. Step 4: Simplify right side
   1,105.32x = 972,069.59
5. Step 5: Solve for x
   x = 972,069.59/1,105.32
6. Step 6: Final answer
   x = 879.45