Finding the Fourth Proportional to 2,648.53, 3,972.82 and 799.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.53 : 3,972.82 = 799.66 : x
2. Step 2: Convert to fraction form
   2,648.53/3,972.82 = 799.66/x
3. Step 3: Cross multiply
   2,648.53x = 3,972.82 × 799.66
4. Step 4: Simplify right side
   2,648.53x = 3,176,881.38
5. Step 5: Solve for x
   x = 3,176,881.38/2,648.53
6. Step 6: Final answer
   x = 1,199.49