Finding the Fourth Proportional to 9,919.46, 13,687.99 and 5,669.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,919.46 : 13,687.99 = 5,669.80 : x
2. Step 2: Convert to fraction form
   9,919.46/13,687.99 = 5,669.80/x
3. Step 3: Cross multiply
   9,919.46x = 13,687.99 × 5,669.80
4. Step 4: Simplify right side
   9,919.46x = 77,608,117.31
5. Step 5: Solve for x
   x = 77,608,117.31/9,919.46
6. Step 6: Final answer
   x = 7,823.82