Finding the Fourth Proportional to 10,396.29, 14,346.20 and 5,680.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396.29 : 14,346.20 = 5,680.56 : x
2. Step 2: Convert to fraction form
   10,396.29/14,346.20 = 5,680.56/x
3. Step 3: Cross multiply
   10,396.29x = 14,346.20 × 5,680.56
4. Step 4: Simplify right side
   10,396.29x = 81,494,421.47
5. Step 5: Solve for x
   x = 81,494,421.47/10,396.29
6. Step 6: Final answer
   x = 7,838.80