Finding the Fourth Proportional to 2,089.24, 3,133.76 and 856.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,089.24 : 3,133.76 = 856.34 : x
2. Step 2: Convert to fraction form
   2,089.24/3,133.76 = 856.34/x
3. Step 3: Cross multiply
   2,089.24x = 3,133.76 × 856.34
4. Step 4: Simplify right side
   2,089.24x = 2,683,564.04
5. Step 5: Solve for x
   x = 2,683,564.04/2,089.24
6. Step 6: Final answer
   x = 1,284.47