Finding the Fourth Proportional to 10,356.32, 14,291.89 and 5,640.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.32 : 14,291.89 = 5,640.60 : x
2. Step 2: Convert to fraction form
   10,356.32/14,291.89 = 5,640.60/x
3. Step 3: Cross multiply
   10,356.32x = 14,291.89 × 5,640.60
4. Step 4: Simplify right side
   10,356.32x = 80,614,870.46
5. Step 5: Solve for x
   x = 80,614,870.46/10,356.32
6. Step 6: Final answer
   x = 7,784.12