Finding the Fourth Proportional to 3,870.16, 5,807.78 and 2,309

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.16 : 5,807.78 = 2,309 : x
2. Step 2: Convert to fraction form
   3,870.16/5,807.78 = 2,309/x
3. Step 3: Cross multiply
   3,870.16x = 5,807.78 × 2,309
4. Step 4: Simplify right side
   3,870.16x = 13,410,164.02
5. Step 5: Solve for x
   x = 13,410,164.02/3,870.16
6. Step 6: Final answer
   x = 3,465.02