Finding the Fourth Proportional to 1,422.26, 1,956.10 and 1,142.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,422.26 : 1,956.10 = 1,142.05 : x
2. Step 2: Convert to fraction form
   1,422.26/1,956.10 = 1,142.05/x
3. Step 3: Cross multiply
   1,422.26x = 1,956.10 × 1,142.05
4. Step 4: Simplify right side
   1,422.26x = 2,233,964.01
5. Step 5: Solve for x
   x = 2,233,964.01/1,422.26
6. Step 6: Final answer
   x = 1,570.71