Finding the Fourth Proportional to 10,356.72, 14,292.48 and 5,641.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.72 : 14,292.48 = 5,641.20 : x
2. Step 2: Convert to fraction form
   10,356.72/14,292.48 = 5,641.20/x
3. Step 3: Cross multiply
   10,356.72x = 14,292.48 × 5,641.20
4. Step 4: Simplify right side
   10,356.72x = 80,626,738.18
5. Step 5: Solve for x
   x = 80,626,738.18/10,356.72
6. Step 6: Final answer
   x = 7,784.97