Finding the Fourth Proportional to 10,356.72, 14,292.42 and 5,641

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.72 : 14,292.42 = 5,641 : x
2. Step 2: Convert to fraction form
   10,356.72/14,292.42 = 5,641/x
3. Step 3: Cross multiply
   10,356.72x = 14,292.42 × 5,641
4. Step 4: Simplify right side
   10,356.72x = 80,623,541.22
5. Step 5: Solve for x
   x = 80,623,541.22/10,356.72
6. Step 6: Final answer
   x = 7,784.66