Finding the Fourth Proportional to 11,884.50, 17,827.71 and 3,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,884.50 : 17,827.71 = 3,676.50 : x
2. Step 2: Convert to fraction form
   11,884.50/17,827.71 = 3,676.50/x
3. Step 3: Cross multiply
   11,884.50x = 17,827.71 × 3,676.50
4. Step 4: Simplify right side
   11,884.50x = 65,543,575.82
5. Step 5: Solve for x
   x = 65,543,575.82/11,884.50
6. Step 6: Final answer
   x = 5,515.05