Finding the Fourth Proportional to 10,356.61, 14,292.12 and 5,640.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.61 : 14,292.12 = 5,640.89 : x
2. Step 2: Convert to fraction form
   10,356.61/14,292.12 = 5,640.89/x
3. Step 3: Cross multiply
   10,356.61x = 14,292.12 × 5,640.89
4. Step 4: Simplify right side
   10,356.61x = 80,620,291.01
5. Step 5: Solve for x
   x = 80,620,291.01/10,356.61
6. Step 6: Final answer
   x = 7,784.43