Finding the Fourth Proportional to 1,538.43, 2,304.20 and 715.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.43 : 2,304.20 = 715.47 : x
2. Step 2: Convert to fraction form
   1,538.43/2,304.20 = 715.47/x
3. Step 3: Cross multiply
   1,538.43x = 2,304.20 × 715.47
4. Step 4: Simplify right side
   1,538.43x = 1,648,587.76
5. Step 5: Solve for x
   x = 1,648,587.76/1,538.43
6. Step 6: Final answer
   x = 1,071.60