Finding the Fourth Proportional to 3,870.77, 5,342.81 and 2,378.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.77 : 5,342.81 = 2,378.15 : x
2. Step 2: Convert to fraction form
   3,870.77/5,342.81 = 2,378.15/x
3. Step 3: Cross multiply
   3,870.77x = 5,342.81 × 2,378.15
4. Step 4: Simplify right side
   3,870.77x = 12,705,965.00
5. Step 5: Solve for x
   x = 12,705,965.00/3,870.77
6. Step 6: Final answer
   x = 3,282.55