Finding the Fourth Proportional to 1,164.56, 1,746.50 and 342.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.56 : 1,746.50 = 342.82 : x
2. Step 2: Convert to fraction form
   1,164.56/1,746.50 = 342.82/x
3. Step 3: Cross multiply
   1,164.56x = 1,746.50 × 342.82
4. Step 4: Simplify right side
   1,164.56x = 598,731.62
5. Step 5: Solve for x
   x = 598,731.62/1,164.56
6. Step 6: Final answer
   x = 514.13