Finding the Fourth Proportional to 13,205.34, 19,803.42 and 3,842.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,205.34 : 19,803.42 = 3,842.82 : x
2. Step 2: Convert to fraction form
   13,205.34/19,803.42 = 3,842.82/x
3. Step 3: Cross multiply
   13,205.34x = 19,803.42 × 3,842.82
4. Step 4: Simplify right side
   13,205.34x = 76,100,978.44
5. Step 5: Solve for x
   x = 76,100,978.44/13,205.34
6. Step 6: Final answer
   x = 5,762.89