Finding the Fourth Proportional to 1,061.06, 1,463.54 and 825.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.06 : 1,463.54 = 825.75 : x
2. Step 2: Convert to fraction form
   1,061.06/1,463.54 = 825.75/x
3. Step 3: Cross multiply
   1,061.06x = 1,463.54 × 825.75
4. Step 4: Simplify right side
   1,061.06x = 1,208,514.03
5. Step 5: Solve for x
   x = 1,208,514.03/1,061.06
6. Step 6: Final answer
   x = 1,138.97