Finding the Fourth Proportional to 3,792.88, 5,234.01 and 2,114.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.88 : 5,234.01 = 2,114.14 : x
2. Step 2: Convert to fraction form
   3,792.88/5,234.01 = 2,114.14/x
3. Step 3: Cross multiply
   3,792.88x = 5,234.01 × 2,114.14
4. Step 4: Simplify right side
   3,792.88x = 11,065,429.90
5. Step 5: Solve for x
   x = 11,065,429.90/3,792.88
6. Step 6: Final answer
   x = 2,917.42