Finding the Fourth Proportional to 1,098.77, 1,516.22 and 601.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.77 : 1,516.22 = 601.42 : x
2. Step 2: Convert to fraction form
   1,098.77/1,516.22 = 601.42/x
3. Step 3: Cross multiply
   1,098.77x = 1,516.22 × 601.42
4. Step 4: Simplify right side
   1,098.77x = 911,885.03
5. Step 5: Solve for x
   x = 911,885.03/1,098.77
6. Step 6: Final answer
   x = 829.91