Finding the Fourth Proportional to 1,098.52, 1,515.89 and 601.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.52 : 1,515.89 = 601.06 : x
2. Step 2: Convert to fraction form
   1,098.52/1,515.89 = 601.06/x
3. Step 3: Cross multiply
   1,098.52x = 1,515.89 × 601.06
4. Step 4: Simplify right side
   1,098.52x = 911,140.84
5. Step 5: Solve for x
   x = 911,140.84/1,098.52
6. Step 6: Final answer
   x = 829.43