Finding the Fourth Proportional to 2,554.88, 3,832.38 and 823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554.88 : 3,832.38 = 823.50 : x
2. Step 2: Convert to fraction form
   2,554.88/3,832.38 = 823.50/x
3. Step 3: Cross multiply
   2,554.88x = 3,832.38 × 823.50
4. Step 4: Simplify right side
   2,554.88x = 3,155,964.93
5. Step 5: Solve for x
   x = 3,155,964.93/2,554.88
6. Step 6: Final answer
   x = 1,235.27