Finding the Fourth Proportional to 8,005.77, 12,007.71 and 3,788.07

Step by Step Solution

1. Step 1: Write the proportion equation
   8,005.77 : 12,007.71 = 3,788.07 : x
2. Step 2: Convert to fraction form
   8,005.77/12,007.71 = 3,788.07/x
3. Step 3: Cross multiply
   8,005.77x = 12,007.71 × 3,788.07
4. Step 4: Simplify right side
   8,005.77x = 45,486,046.02
5. Step 5: Solve for x
   x = 45,486,046.02/8,005.77
6. Step 6: Final answer
   x = 5,681.66