Finding the Fourth Proportional to 3,872.10, 5,820.30 and 3,653.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872.10 : 5,820.30 = 3,653.40 : x
2. Step 2: Convert to fraction form
   3,872.10/5,820.30 = 3,653.40/x
3. Step 3: Cross multiply
   3,872.10x = 5,820.30 × 3,653.40
4. Step 4: Simplify right side
   3,872.10x = 21,263,884.02
5. Step 5: Solve for x
   x = 21,263,884.02/3,872.10
6. Step 6: Final answer
   x = 5,491.56