Finding the Fourth Proportional to 1,267.78, 1,748.37 and 825.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,267.78 : 1,748.37 = 825.52 : x
2. Step 2: Convert to fraction form
   1,267.78/1,748.37 = 825.52/x
3. Step 3: Cross multiply
   1,267.78x = 1,748.37 × 825.52
4. Step 4: Simplify right side
   1,267.78x = 1,443,314.40
5. Step 5: Solve for x
   x = 1,443,314.40/1,267.78
6. Step 6: Final answer
   x = 1,138.46