Finding the Fourth Proportional to 9,917.20, 13,685.62 and 5,669.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,917.20 : 13,685.62 = 5,669.98 : x
2. Step 2: Convert to fraction form
   9,917.20/13,685.62 = 5,669.98/x
3. Step 3: Cross multiply
   9,917.20x = 13,685.62 × 5,669.98
4. Step 4: Simplify right side
   9,917.20x = 77,597,143.30
5. Step 5: Solve for x
   x = 77,597,143.30/9,917.20
6. Step 6: Final answer
   x = 7,824.50