Finding the Fourth Proportional to 1,024.38, 1,536.59 and 476.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.38 : 1,536.59 = 476.42 : x
2. Step 2: Convert to fraction form
   1,024.38/1,536.59 = 476.42/x
3. Step 3: Cross multiply
   1,024.38x = 1,536.59 × 476.42
4. Step 4: Simplify right side
   1,024.38x = 732,055.98
5. Step 5: Solve for x
   x = 732,055.98/1,024.38
6. Step 6: Final answer
   x = 714.63