Finding the Fourth Proportional to 10,356.30, 14,291.70 and 5,640.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.30 : 14,291.70 = 5,640.56 : x
2. Step 2: Convert to fraction form
   10,356.30/14,291.70 = 5,640.56/x
3. Step 3: Cross multiply
   10,356.30x = 14,291.70 × 5,640.56
4. Step 4: Simplify right side
   10,356.30x = 80,613,191.35
5. Step 5: Solve for x
   x = 80,613,191.35/10,356.30
6. Step 6: Final answer
   x = 7,783.98