Finding the Fourth Proportional to 1,012.83, 1,393.31 and 825.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.83 : 1,393.31 = 825.91 : x
2. Step 2: Convert to fraction form
   1,012.83/1,393.31 = 825.91/x
3. Step 3: Cross multiply
   1,012.83x = 1,393.31 × 825.91
4. Step 4: Simplify right side
   1,012.83x = 1,150,748.66
5. Step 5: Solve for x
   x = 1,150,748.66/1,012.83
6. Step 6: Final answer
   x = 1,136.17