Finding the Fourth Proportional to 10,359.52, 14,296.14 and 5,643.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.52 : 14,296.14 = 5,643.80 : x
2. Step 2: Convert to fraction form
   10,359.52/14,296.14 = 5,643.80/x
3. Step 3: Cross multiply
   10,359.52x = 14,296.14 × 5,643.80
4. Step 4: Simplify right side
   10,359.52x = 80,684,554.93
5. Step 5: Solve for x
   x = 80,684,554.93/10,359.52
6. Step 6: Final answer
   x = 7,788.45