Finding the Fourth Proportional to 9,920.28, 13,688.82 and 5,886.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,920.28 : 13,688.82 = 5,886.48 : x
2. Step 2: Convert to fraction form
   9,920.28/13,688.82 = 5,886.48/x
3. Step 3: Cross multiply
   9,920.28x = 13,688.82 × 5,886.48
4. Step 4: Simplify right side
   9,920.28x = 80,578,965.15
5. Step 5: Solve for x
   x = 80,578,965.15/9,920.28
6. Step 6: Final answer
   x = 8,122.65