Finding the Fourth Proportional to 3,792.61, 5,233.71 and 2,114.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.61 : 5,233.71 = 2,114.02 : x
2. Step 2: Convert to fraction form
   3,792.61/5,233.71 = 2,114.02/x
3. Step 3: Cross multiply
   3,792.61x = 5,233.71 × 2,114.02
4. Step 4: Simplify right side
   3,792.61x = 11,064,167.61
5. Step 5: Solve for x
   x = 11,064,167.61/3,792.61
6. Step 6: Final answer
   x = 2,917.30