Finding the Fourth Proportional to 1,895.88, 2,844.72 and 856.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,895.88 : 2,844.72 = 856.16 : x
2. Step 2: Convert to fraction form
   1,895.88/2,844.72 = 856.16/x
3. Step 3: Cross multiply
   1,895.88x = 2,844.72 × 856.16
4. Step 4: Simplify right side
   1,895.88x = 2,435,535.48
5. Step 5: Solve for x
   x = 2,435,535.48/1,895.88
6. Step 6: Final answer
   x = 1,284.65