Finding the Fourth Proportional to 3,792.62, 5,233.86 and 2,114

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.62 : 5,233.86 = 2,114 : x
2. Step 2: Convert to fraction form
   3,792.62/5,233.86 = 2,114/x
3. Step 3: Cross multiply
   3,792.62x = 5,233.86 × 2,114
4. Step 4: Simplify right side
   3,792.62x = 11,064,380.04
5. Step 5: Solve for x
   x = 11,064,380.04/3,792.62
6. Step 6: Final answer
   x = 2,917.34