Finding the Fourth Proportional to 1,416.05, 1,954.27 and 826.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.05 : 1,954.27 = 826.77 : x
2. Step 2: Convert to fraction form
   1,416.05/1,954.27 = 826.77/x
3. Step 3: Cross multiply
   1,416.05x = 1,954.27 × 826.77
4. Step 4: Simplify right side
   1,416.05x = 1,615,727.67
5. Step 5: Solve for x
   x = 1,615,727.67/1,416.05
6. Step 6: Final answer
   x = 1,141.01