Finding the Fourth Proportional to 1,416.08, 1,954.72 and 826.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.08 : 1,954.72 = 826.62 : x
2. Step 2: Convert to fraction form
   1,416.08/1,954.72 = 826.62/x
3. Step 3: Cross multiply
   1,416.08x = 1,954.72 × 826.62
4. Step 4: Simplify right side
   1,416.08x = 1,615,810.65
5. Step 5: Solve for x
   x = 1,615,810.65/1,416.08
6. Step 6: Final answer
   x = 1,141.04