Finding the Fourth Proportional to 1,267.82, 1,900.34 and 856.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,267.82 : 1,900.34 = 856.84 : x
2. Step 2: Convert to fraction form
   1,267.82/1,900.34 = 856.84/x
3. Step 3: Cross multiply
   1,267.82x = 1,900.34 × 856.84
4. Step 4: Simplify right side
   1,267.82x = 1,628,278.29
5. Step 5: Solve for x
   x = 1,628,278.29/1,267.82
6. Step 6: Final answer
   x = 1,284.31