Finding the Fourth Proportional to 10,395.84, 14,346.24 and 5,680.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,395.84 : 14,346.24 = 5,680.08 : x
2. Step 2: Convert to fraction form
   10,395.84/14,346.24 = 5,680.08/x
3. Step 3: Cross multiply
   10,395.84x = 14,346.24 × 5,680.08
4. Step 4: Simplify right side
   10,395.84x = 81,487,790.90
5. Step 5: Solve for x
   x = 81,487,790.90/10,395.84
6. Step 6: Final answer
   x = 7,838.50