Finding the Fourth Proportional to 10,356.82, 14,292.39 and 5,641.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.82 : 14,292.39 = 5,641.09 : x
2. Step 2: Convert to fraction form
   10,356.82/14,292.39 = 5,641.09/x
3. Step 3: Cross multiply
   10,356.82x = 14,292.39 × 5,641.09
4. Step 4: Simplify right side
   10,356.82x = 80,624,658.31
5. Step 5: Solve for x
   x = 80,624,658.31/10,356.82
6. Step 6: Final answer
   x = 7,784.69