Finding the Fourth Proportional to 10,356.39, 14,291.83 and 5,640.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.39 : 14,291.83 = 5,640.69 : x
2. Step 2: Convert to fraction form
   10,356.39/14,291.83 = 5,640.69/x
3. Step 3: Cross multiply
   10,356.39x = 14,291.83 × 5,640.69
4. Step 4: Simplify right side
   10,356.39x = 80,615,697.00
5. Step 5: Solve for x
   x = 80,615,697.00/10,356.39
6. Step 6: Final answer
   x = 7,784.15