Finding the Fourth Proportional to 1,160.71, 1,740.72 and 338.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.71 : 1,740.72 = 338.72 : x
2. Step 2: Convert to fraction form
   1,160.71/1,740.72 = 338.72/x
3. Step 3: Cross multiply
   1,160.71x = 1,740.72 × 338.72
4. Step 4: Simplify right side
   1,160.71x = 589,619.76
5. Step 5: Solve for x
   x = 589,619.76/1,160.71
6. Step 6: Final answer
   x = 507.98