Finding the Fourth Proportional to 1,164.47, 1,746.55 and 342.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.47 : 1,746.55 = 342.83 : x
2. Step 2: Convert to fraction form
   1,164.47/1,746.55 = 342.83/x
3. Step 3: Cross multiply
   1,164.47x = 1,746.55 × 342.83
4. Step 4: Simplify right side
   1,164.47x = 598,760.15
5. Step 5: Solve for x
   x = 598,760.15/1,164.47
6. Step 6: Final answer
   x = 514.19