Finding the Fourth Proportional to 2,380.71, 3,569.58 and 919.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380.71 : 3,569.58 = 919.20 : x
2. Step 2: Convert to fraction form
   2,380.71/3,569.58 = 919.20/x
3. Step 3: Cross multiply
   2,380.71x = 3,569.58 × 919.20
4. Step 4: Simplify right side
   2,380.71x = 3,281,157.94
5. Step 5: Solve for x
   x = 3,281,157.94/2,380.71
6. Step 6: Final answer
   x = 1,378.23