Finding the Fourth Proportional to 9,917.35, 13,685.06 and 5,667.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,917.35 : 13,685.06 = 5,667.57 : x
2. Step 2: Convert to fraction form
   9,917.35/13,685.06 = 5,667.57/x
3. Step 3: Cross multiply
   9,917.35x = 13,685.06 × 5,667.57
4. Step 4: Simplify right side
   9,917.35x = 77,561,049.67
5. Step 5: Solve for x
   x = 77,561,049.67/9,917.35
6. Step 6: Final answer
   x = 7,820.75