Finding the Fourth Proportional to 1,164.27, 1,746.69 and 579.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.27 : 1,746.69 = 579.55 : x
2. Step 2: Convert to fraction form
   1,164.27/1,746.69 = 579.55/x
3. Step 3: Cross multiply
   1,164.27x = 1,746.69 × 579.55
4. Step 4: Simplify right side
   1,164.27x = 1,012,294.18
5. Step 5: Solve for x
   x = 1,012,294.18/1,164.27
6. Step 6: Final answer
   x = 869.46