Finding the Fourth Proportional to 10,396.05, 14,346.54 and 5,680.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396.05 : 14,346.54 = 5,680.33 : x
2. Step 2: Convert to fraction form
   10,396.05/14,346.54 = 5,680.33/x
3. Step 3: Cross multiply
   10,396.05x = 14,346.54 × 5,680.33
4. Step 4: Simplify right side
   10,396.05x = 81,493,081.56
5. Step 5: Solve for x
   x = 81,493,081.56/10,396.05
6. Step 6: Final answer
   x = 7,838.85