Finding the Fourth Proportional to 1,012.68, 1,397.52 and 598.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.68 : 1,397.52 = 598.68 : x
2. Step 2: Convert to fraction form
   1,012.68/1,397.52 = 598.68/x
3. Step 3: Cross multiply
   1,012.68x = 1,397.52 × 598.68
4. Step 4: Simplify right side
   1,012.68x = 836,667.27
5. Step 5: Solve for x
   x = 836,667.27/1,012.68
6. Step 6: Final answer
   x = 826.19