Finding the Fourth Proportional to 3,792.16, 5,233.16 and 2,113.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.16 : 5,233.16 = 2,113.64 : x
2. Step 2: Convert to fraction form
   3,792.16/5,233.16 = 2,113.64/x
3. Step 3: Cross multiply
   3,792.16x = 5,233.16 × 2,113.64
4. Step 4: Simplify right side
   3,792.16x = 11,061,016.30
5. Step 5: Solve for x
   x = 11,061,016.30/3,792.16
6. Step 6: Final answer
   x = 2,916.81