Finding the Fourth Proportional to 10,396.15, 14,346.47 and 5,680.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396.15 : 14,346.47 = 5,680.46 : x
2. Step 2: Convert to fraction form
   10,396.15/14,346.47 = 5,680.46/x
3. Step 3: Cross multiply
   10,396.15x = 14,346.47 × 5,680.46
4. Step 4: Simplify right side
   10,396.15x = 81,494,599.04
5. Step 5: Solve for x
   x = 81,494,599.04/10,396.15
6. Step 6: Final answer
   x = 7,838.92