Finding the Fourth Proportional to 1,012.09, 1,397.33 and 826.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.09 : 1,397.33 = 826.02 : x
2. Step 2: Convert to fraction form
   1,012.09/1,397.33 = 826.02/x
3. Step 3: Cross multiply
   1,012.09x = 1,397.33 × 826.02
4. Step 4: Simplify right side
   1,012.09x = 1,154,228.55
5. Step 5: Solve for x
   x = 1,154,228.55/1,012.09
6. Step 6: Final answer
   x = 1,140.44