Finding the Fourth Proportional to 9,919.60, 13,688.17 and 5,669.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,919.60 : 13,688.17 = 5,669.82 : x
2. Step 2: Convert to fraction form
   9,919.60/13,688.17 = 5,669.82/x
3. Step 3: Cross multiply
   9,919.60x = 13,688.17 × 5,669.82
4. Step 4: Simplify right side
   9,919.60x = 77,609,445.85
5. Step 5: Solve for x
   x = 77,609,445.85/9,919.60
6. Step 6: Final answer
   x = 7,823.85