Finding the Fourth Proportional to 1,162.52, 1,743.72 and 340.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.52 : 1,743.72 = 340.80 : x
2. Step 2: Convert to fraction form
   1,162.52/1,743.72 = 340.80/x
3. Step 3: Cross multiply
   1,162.52x = 1,743.72 × 340.80
4. Step 4: Simplify right side
   1,162.52x = 594,259.78
5. Step 5: Solve for x
   x = 594,259.78/1,162.52
6. Step 6: Final answer
   x = 511.18