Finding the Fourth Proportional to 1,410.96, 2,114.78 and 826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.96 : 2,114.78 = 826.25 : x
2. Step 2: Convert to fraction form
   1,410.96/2,114.78 = 826.25/x
3. Step 3: Cross multiply
   1,410.96x = 2,114.78 × 826.25
4. Step 4: Simplify right side
   1,410.96x = 1,747,322.27
5. Step 5: Solve for x
   x = 1,747,322.27/1,410.96
6. Step 6: Final answer
   x = 1,238.39