Finding the Fourth Proportional to 2,562.74, 3,834.12 and 1,948.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.74 : 3,834.12 = 1,948.22 : x
2. Step 2: Convert to fraction form
   2,562.74/3,834.12 = 1,948.22/x
3. Step 3: Cross multiply
   2,562.74x = 3,834.12 × 1,948.22
4. Step 4: Simplify right side
   2,562.74x = 7,469,709.27
5. Step 5: Solve for x
   x = 7,469,709.27/2,562.74
6. Step 6: Final answer
   x = 2,914.74