Finding the Fourth Proportional to 3,837.20, 5,722.20 and 3,802.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837.20 : 5,722.20 = 3,802.16 : x
2. Step 2: Convert to fraction form
   3,837.20/5,722.20 = 3,802.16/x
3. Step 3: Cross multiply
   3,837.20x = 5,722.20 × 3,802.16
4. Step 4: Simplify right side
   3,837.20x = 21,756,691.34
5. Step 5: Solve for x
   x = 21,756,691.34/3,837.20
6. Step 6: Final answer
   x = 5,669.95