Finding the Fourth Proportional to 9,917.10, 13,684.71 and 5,667.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,917.10 : 13,684.71 = 5,667.32 : x
2. Step 2: Convert to fraction form
   9,917.10/13,684.71 = 5,667.32/x
3. Step 3: Cross multiply
   9,917.10x = 13,684.71 × 5,667.32
4. Step 4: Simplify right side
   9,917.10x = 77,555,609.16
5. Step 5: Solve for x
   x = 77,555,609.16/9,917.10
6. Step 6: Final answer
   x = 7,820.39