Finding the Fourth Proportional to 8,200.31, 12,307.82 and 3,820.23

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200.31 : 12,307.82 = 3,820.23 : x
2. Step 2: Convert to fraction form
   8,200.31/12,307.82 = 3,820.23/x
3. Step 3: Cross multiply
   8,200.31x = 12,307.82 × 3,820.23
4. Step 4: Simplify right side
   8,200.31x = 47,018,684.10
5. Step 5: Solve for x
   x = 47,018,684.10/8,200.31
6. Step 6: Final answer
   x = 5,733.77