Finding the Fourth Proportional to 10,356.77, 14,292.32 and 5,641.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.77 : 14,292.32 = 5,641.08 : x
2. Step 2: Convert to fraction form
   10,356.77/14,292.32 = 5,641.08/x
3. Step 3: Cross multiply
   10,356.77x = 14,292.32 × 5,641.08
4. Step 4: Simplify right side
   10,356.77x = 80,624,092.30
5. Step 5: Solve for x
   x = 80,624,092.30/10,356.77
6. Step 6: Final answer
   x = 7,784.68