Finding the Fourth Proportional to 13,185.78, 19,779.72 and 3,825.96

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185.78 : 19,779.72 = 3,825.96 : x
2. Step 2: Convert to fraction form
   13,185.78/19,779.72 = 3,825.96/x
3. Step 3: Cross multiply
   13,185.78x = 19,779.72 × 3,825.96
4. Step 4: Simplify right side
   13,185.78x = 75,676,417.53
5. Step 5: Solve for x
   x = 75,676,417.53/13,185.78
6. Step 6: Final answer
   x = 5,739.24