Finding the Fourth Proportional to 10,395.96, 14,346.36 and 5,680.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,395.96 : 14,346.36 = 5,680.14 : x
2. Step 2: Convert to fraction form
   10,395.96/14,346.36 = 5,680.14/x
3. Step 3: Cross multiply
   10,395.96x = 14,346.36 × 5,680.14
4. Step 4: Simplify right side
   10,395.96x = 81,489,333.29
5. Step 5: Solve for x
   x = 81,489,333.29/10,395.96
6. Step 6: Final answer
   x = 7,838.56