Finding the Fourth Proportional to 3,863.06, 5,802.35 and 2,306.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,863.06 : 5,802.35 = 2,306.10 : x
2. Step 2: Convert to fraction form
   3,863.06/5,802.35 = 2,306.10/x
3. Step 3: Cross multiply
   3,863.06x = 5,802.35 × 2,306.10
4. Step 4: Simplify right side
   3,863.06x = 13,380,799.34
5. Step 5: Solve for x
   x = 13,380,799.34/3,863.06
6. Step 6: Final answer
   x = 3,463.78