Finding the Fourth Proportional to 1,416.01, 1,954.16 and 826.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.01 : 1,954.16 = 826.51 : x
2. Step 2: Convert to fraction form
   1,416.01/1,954.16 = 826.51/x
3. Step 3: Cross multiply
   1,416.01x = 1,954.16 × 826.51
4. Step 4: Simplify right side
   1,416.01x = 1,615,132.78
5. Step 5: Solve for x
   x = 1,615,132.78/1,416.01
6. Step 6: Final answer
   x = 1,140.62