Finding the Fourth Proportional to 13,185.99, 19,777.77 and 3,828.47

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185.99 : 19,777.77 = 3,828.47 : x
2. Step 2: Convert to fraction form
   13,185.99/19,777.77 = 3,828.47/x
3. Step 3: Cross multiply
   13,185.99x = 19,777.77 × 3,828.47
4. Step 4: Simplify right side
   13,185.99x = 75,718,500.22
5. Step 5: Solve for x
   x = 75,718,500.22/13,185.99
6. Step 6: Final answer
   x = 5,742.34