Finding the Fourth Proportional to 1,416.14, 1,954.50 and 826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.14 : 1,954.50 = 826.82 : x
2. Step 2: Convert to fraction form
   1,416.14/1,954.50 = 826.82/x
3. Step 3: Cross multiply
   1,416.14x = 1,954.50 × 826.82
4. Step 4: Simplify right side
   1,416.14x = 1,616,019.69
5. Step 5: Solve for x
   x = 1,616,019.69/1,416.14
6. Step 6: Final answer
   x = 1,141.14