Finding the Fourth Proportional to 1,238.02, 1,856.17 and 825.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.02 : 1,856.17 = 825.93 : x
2. Step 2: Convert to fraction form
   1,238.02/1,856.17 = 825.93/x
3. Step 3: Cross multiply
   1,238.02x = 1,856.17 × 825.93
4. Step 4: Simplify right side
   1,238.02x = 1,533,066.49
5. Step 5: Solve for x
   x = 1,533,066.49/1,238.02
6. Step 6: Final answer
   x = 1,238.32