Finding the Fourth Proportional to 10,355.02, 14,289.91 and 5,639.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.02 : 14,289.91 = 5,639.33 : x
2. Step 2: Convert to fraction form
   10,355.02/14,289.91 = 5,639.33/x
3. Step 3: Cross multiply
   10,355.02x = 14,289.91 × 5,639.33
4. Step 4: Simplify right side
   10,355.02x = 80,585,518.16
5. Step 5: Solve for x
   x = 80,585,518.16/10,355.02
6. Step 6: Final answer
   x = 7,782.27