Finding the Fourth Proportional to 2,314.10, 3,191.56 and 1,429.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.10 : 3,191.56 = 1,429.27 : x
2. Step 2: Convert to fraction form
   2,314.10/3,191.56 = 1,429.27/x
3. Step 3: Cross multiply
   2,314.10x = 3,191.56 × 1,429.27
4. Step 4: Simplify right side
   2,314.10x = 4,561,589.41
5. Step 5: Solve for x
   x = 4,561,589.41/2,314.10
6. Step 6: Final answer
   x = 1,971.21