Finding the Fourth Proportional to 11,784.24, 17,676.24 and 3,886.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784.24 : 17,676.24 = 3,886.56 : x
2. Step 2: Convert to fraction form
   11,784.24/17,676.24 = 3,886.56/x
3. Step 3: Cross multiply
   11,784.24x = 17,676.24 × 3,886.56
4. Step 4: Simplify right side
   11,784.24x = 68,699,767.33
5. Step 5: Solve for x
   x = 68,699,767.33/11,784.24
6. Step 6: Final answer
   x = 5,829.80