Finding the Fourth Proportional to 1,096.12, 1,512.68 and 598.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.12 : 1,512.68 = 598.72 : x
2. Step 2: Convert to fraction form
   1,096.12/1,512.68 = 598.72/x
3. Step 3: Cross multiply
   1,096.12x = 1,512.68 × 598.72
4. Step 4: Simplify right side
   1,096.12x = 905,671.77
5. Step 5: Solve for x
   x = 905,671.77/1,096.12
6. Step 6: Final answer
   x = 826.25