Finding the Fourth Proportional to 1,349.94, 1,862.78 and 825.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.94 : 1,862.78 = 825.86 : x
2. Step 2: Convert to fraction form
   1,349.94/1,862.78 = 825.86/x
3. Step 3: Cross multiply
   1,349.94x = 1,862.78 × 825.86
4. Step 4: Simplify right side
   1,349.94x = 1,538,395.49
5. Step 5: Solve for x
   x = 1,538,395.49/1,349.94
6. Step 6: Final answer
   x = 1,139.60