Finding the Fourth Proportional to 10,433.69, 14,398.47 and 5,653.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,433.69 : 14,398.47 = 5,653.76 : x
2. Step 2: Convert to fraction form
   10,433.69/14,398.47 = 5,653.76/x
3. Step 3: Cross multiply
   10,433.69x = 14,398.47 × 5,653.76
4. Step 4: Simplify right side
   10,433.69x = 81,405,550.94
5. Step 5: Solve for x
   x = 81,405,550.94/10,433.69
6. Step 6: Final answer
   x = 7,802.18