Finding the Fourth Proportional to 1,856.96, 2,784.24 and 919.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.96 : 2,784.24 = 919.25 : x
2. Step 2: Convert to fraction form
   1,856.96/2,784.24 = 919.25/x
3. Step 3: Cross multiply
   1,856.96x = 2,784.24 × 919.25
4. Step 4: Simplify right side
   1,856.96x = 2,559,398.70
5. Step 5: Solve for x
   x = 2,559,398.70/1,856.96
6. Step 6: Final answer
   x = 1,378.28