Finding the Fourth Proportional to 9,916.13, 13,684.13 and 5,667.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.13 : 13,684.13 = 5,667.15 : x
2. Step 2: Convert to fraction form
   9,916.13/13,684.13 = 5,667.15/x
3. Step 3: Cross multiply
   9,916.13x = 13,684.13 × 5,667.15
4. Step 4: Simplify right side
   9,916.13x = 77,550,017.33
5. Step 5: Solve for x
   x = 77,550,017.33/9,916.13
6. Step 6: Final answer
   x = 7,820.59