Finding the Fourth Proportional to 10,355.82, 14,291.01 and 5,640.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.82 : 14,291.01 = 5,640.09 : x
2. Step 2: Convert to fraction form
   10,355.82/14,291.01 = 5,640.09/x
3. Step 3: Cross multiply
   10,355.82x = 14,291.01 × 5,640.09
4. Step 4: Simplify right side
   10,355.82x = 80,602,582.59
5. Step 5: Solve for x
   x = 80,602,582.59/10,355.82
6. Step 6: Final answer
   x = 7,783.31