Finding the Fourth Proportional to 9,916.88, 13,684.41 and 5,667.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.88 : 13,684.41 = 5,667.09 : x
2. Step 2: Convert to fraction form
   9,916.88/13,684.41 = 5,667.09/x
3. Step 3: Cross multiply
   9,916.88x = 13,684.41 × 5,667.09
4. Step 4: Simplify right side
   9,916.88x = 77,550,783.07
5. Step 5: Solve for x
   x = 77,550,783.07/9,916.88
6. Step 6: Final answer
   x = 7,820.08