Finding the Fourth Proportional to 3,818.34, 5,696.46 and 3,769.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,818.34 : 5,696.46 = 3,769.20 : x
2. Step 2: Convert to fraction form
   3,818.34/5,696.46 = 3,769.20/x
3. Step 3: Cross multiply
   3,818.34x = 5,696.46 × 3,769.20
4. Step 4: Simplify right side
   3,818.34x = 21,471,097.03
5. Step 5: Solve for x
   x = 21,471,097.03/3,818.34
6. Step 6: Final answer
   x = 5,623.15