Finding the Fourth Proportional to 1,416.71, 1,954.32 and 826.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.71 : 1,954.32 = 826.76 : x
2. Step 2: Convert to fraction form
   1,416.71/1,954.32 = 826.76/x
3. Step 3: Cross multiply
   1,416.71x = 1,954.32 × 826.76
4. Step 4: Simplify right side
   1,416.71x = 1,615,753.60
5. Step 5: Solve for x
   x = 1,615,753.60/1,416.71
6. Step 6: Final answer
   x = 1,140.50