Finding the Fourth Proportional to 2,488.52, 3,732.86 and 822.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,488.52 : 3,732.86 = 822.64 : x
2. Step 2: Convert to fraction form
   2,488.52/3,732.86 = 822.64/x
3. Step 3: Cross multiply
   2,488.52x = 3,732.86 × 822.64
4. Step 4: Simplify right side
   2,488.52x = 3,070,799.95
5. Step 5: Solve for x
   x = 3,070,799.95/2,488.52
6. Step 6: Final answer
   x = 1,233.99