Finding the Fourth Proportional to 1,068.78, 1,601.49 and 825.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,068.78 : 1,601.49 = 825.90 : x
2. Step 2: Convert to fraction form
   1,068.78/1,601.49 = 825.90/x
3. Step 3: Cross multiply
   1,068.78x = 1,601.49 × 825.90
4. Step 4: Simplify right side
   1,068.78x = 1,322,670.59
5. Step 5: Solve for x
   x = 1,322,670.59/1,068.78
6. Step 6: Final answer
   x = 1,237.55