Finding the Fourth Proportional to 1,410.89, 2,116.47 and 826.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.89 : 2,116.47 = 826.77 : x
2. Step 2: Convert to fraction form
   1,410.89/2,116.47 = 826.77/x
3. Step 3: Cross multiply
   1,410.89x = 2,116.47 × 826.77
4. Step 4: Simplify right side
   1,410.89x = 1,749,833.90
5. Step 5: Solve for x
   x = 1,749,833.90/1,410.89
6. Step 6: Final answer
   x = 1,240.23