Finding the Fourth Proportional to 1,540.38, 2,307.83 and 799.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.38 : 2,307.83 = 799.10 : x
2. Step 2: Convert to fraction form
   1,540.38/2,307.83 = 799.10/x
3. Step 3: Cross multiply
   1,540.38x = 2,307.83 × 799.10
4. Step 4: Simplify right side
   1,540.38x = 1,844,180.07
5. Step 5: Solve for x
   x = 1,844,180.07/1,540.38
6. Step 6: Final answer
   x = 1,197.22