Finding the Fourth Proportional to 10,356.03, 14,291.34 and 5,640.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.03 : 14,291.34 = 5,640.21 : x
2. Step 2: Convert to fraction form
   10,356.03/14,291.34 = 5,640.21/x
3. Step 3: Cross multiply
   10,356.03x = 14,291.34 × 5,640.21
4. Step 4: Simplify right side
   10,356.03x = 80,606,158.78
5. Step 5: Solve for x
   x = 80,606,158.78/10,356.03
6. Step 6: Final answer
   x = 7,783.50