Finding the Fourth Proportional to 1,540.37, 2,307.27 and 807.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.37 : 2,307.27 = 807.72 : x
2. Step 2: Convert to fraction form
   1,540.37/2,307.27 = 807.72/x
3. Step 3: Cross multiply
   1,540.37x = 2,307.27 × 807.72
4. Step 4: Simplify right side
   1,540.37x = 1,863,628.12
5. Step 5: Solve for x
   x = 1,863,628.12/1,540.37
6. Step 6: Final answer
   x = 1,209.86