Finding the Fourth Proportional to 10,359.58, 14,296.44 and 5,643.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.58 : 14,296.44 = 5,643.85 : x
2. Step 2: Convert to fraction form
   10,359.58/14,296.44 = 5,643.85/x
3. Step 3: Cross multiply
   10,359.58x = 14,296.44 × 5,643.85
4. Step 4: Simplify right side
   10,359.58x = 80,686,962.89
5. Step 5: Solve for x
   x = 80,686,962.89/10,359.58
6. Step 6: Final answer
   x = 7,788.63