Finding the Fourth Proportional to 3,788.72, 5,675.76 and 3,096.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,788.72 : 5,675.76 = 3,096.16 : x
2. Step 2: Convert to fraction form
   3,788.72/5,675.76 = 3,096.16/x
3. Step 3: Cross multiply
   3,788.72x = 5,675.76 × 3,096.16
4. Step 4: Simplify right side
   3,788.72x = 17,573,061.08
5. Step 5: Solve for x
   x = 17,573,061.08/3,788.72
6. Step 6: Final answer
   x = 4,638.26