Finding the Fourth Proportional to 1,371.50, 2,055.18 and 823.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.50 : 2,055.18 = 823.08 : x
2. Step 2: Convert to fraction form
   1,371.50/2,055.18 = 823.08/x
3. Step 3: Cross multiply
   1,371.50x = 2,055.18 × 823.08
4. Step 4: Simplify right side
   1,371.50x = 1,691,577.55
5. Step 5: Solve for x
   x = 1,691,577.55/1,371.50
6. Step 6: Final answer
   x = 1,233.38