Finding the Fourth Proportional to 10,356.02, 14,291.30 and 5,640.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,356.02 : 14,291.30 = 5,640.33 : x
2. Step 2: Convert to fraction form
   10,356.02/14,291.30 = 5,640.33/x
3. Step 3: Cross multiply
   10,356.02x = 14,291.30 × 5,640.33
4. Step 4: Simplify right side
   10,356.02x = 80,607,619.93
5. Step 5: Solve for x
   x = 80,607,619.93/10,356.02
6. Step 6: Final answer
   x = 7,783.65