Finding the Fourth Proportional to 1,098.78, 1,516.31 and 601.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.78 : 1,516.31 = 601.42 : x
2. Step 2: Convert to fraction form
   1,098.78/1,516.31 = 601.42/x
3. Step 3: Cross multiply
   1,098.78x = 1,516.31 × 601.42
4. Step 4: Simplify right side
   1,098.78x = 911,939.16
5. Step 5: Solve for x
   x = 911,939.16/1,098.78
6. Step 6: Final answer
   x = 829.96