Finding the Fourth Proportional to 1,018.22, 1,405.16 and 598.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.22 : 1,405.16 = 598.58 : x
2. Step 2: Convert to fraction form
   1,018.22/1,405.16 = 598.58/x
3. Step 3: Cross multiply
   1,018.22x = 1,405.16 × 598.58
4. Step 4: Simplify right side
   1,018.22x = 841,100.67
5. Step 5: Solve for x
   x = 841,100.67/1,018.22
6. Step 6: Final answer
   x = 826.05