Finding the Fourth Proportional to 2,538.39, 3,807.56 and 1,306.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.39 : 3,807.56 = 1,306.14 : x
2. Step 2: Convert to fraction form
   2,538.39/3,807.56 = 1,306.14/x
3. Step 3: Cross multiply
   2,538.39x = 3,807.56 × 1,306.14
4. Step 4: Simplify right side
   2,538.39x = 4,973,199.89
5. Step 5: Solve for x
   x = 4,973,199.89/2,538.39
6. Step 6: Final answer
   x = 1,959.19