Finding the Fourth Proportional to 10,355.52, 14,290.64 and 5,639.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,355.52 : 14,290.64 = 5,639.84 : x
2. Step 2: Convert to fraction form
   10,355.52/14,290.64 = 5,639.84/x
3. Step 3: Cross multiply
   10,355.52x = 14,290.64 × 5,639.84
4. Step 4: Simplify right side
   10,355.52x = 80,596,923.10
5. Step 5: Solve for x
   x = 80,596,923.10/10,355.52
6. Step 6: Final answer
   x = 7,782.99