Finding the Fourth Proportional to 3,820.06, 5,684.34 and 3,807.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.06 : 5,684.34 = 3,807.10 : x
2. Step 2: Convert to fraction form
   3,820.06/5,684.34 = 3,807.10/x
3. Step 3: Cross multiply
   3,820.06x = 5,684.34 × 3,807.10
4. Step 4: Simplify right side
   3,820.06x = 21,640,850.81
5. Step 5: Solve for x
   x = 21,640,850.81/3,820.06
6. Step 6: Final answer
   x = 5,665.06