Finding the Fourth Proportional to 3,802.96, 5,695.16 and 2,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802.96 : 5,695.16 = 2,154.50 : x
2. Step 2: Convert to fraction form
   3,802.96/5,695.16 = 2,154.50/x
3. Step 3: Cross multiply
   3,802.96x = 5,695.16 × 2,154.50
4. Step 4: Simplify right side
   3,802.96x = 12,270,222.22
5. Step 5: Solve for x
   x = 12,270,222.22/3,802.96
6. Step 6: Final answer
   x = 3,226.49