Finding the Fourth Proportional to 5,726.10, 7,906.59 and 3,813.79

Step by Step Solution

1. Step 1: Write the proportion equation
   5,726.10 : 7,906.59 = 3,813.79 : x
2. Step 2: Convert to fraction form
   5,726.10/7,906.59 = 3,813.79/x
3. Step 3: Cross multiply
   5,726.10x = 7,906.59 × 3,813.79
4. Step 4: Simplify right side
   5,726.10x = 30,154,015.27
5. Step 5: Solve for x
   x = 30,154,015.27/5,726.10
6. Step 6: Final answer
   x = 5,266.07