Finding the Fourth Proportional to 3,767.31, 5,199.59 and 2,506.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.31 : 5,199.59 = 2,506.14 : x
2. Step 2: Convert to fraction form
   3,767.31/5,199.59 = 2,506.14/x
3. Step 3: Cross multiply
   3,767.31x = 5,199.59 × 2,506.14
4. Step 4: Simplify right side
   3,767.31x = 13,030,906.75
5. Step 5: Solve for x
   x = 13,030,906.75/3,767.31
6. Step 6: Final answer
   x = 3,458.94