Finding the Fourth Proportional to 1,018.24, 1,405.18 and 598.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.24 : 1,405.18 = 598.56 : x
2. Step 2: Convert to fraction form
   1,018.24/1,405.18 = 598.56/x
3. Step 3: Cross multiply
   1,018.24x = 1,405.18 × 598.56
4. Step 4: Simplify right side
   1,018.24x = 841,084.54
5. Step 5: Solve for x
   x = 841,084.54/1,018.24
6. Step 6: Final answer
   x = 826.02