Finding the Fourth Proportional to 10,359.84, 14,296.62 and 5,644.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.84 : 14,296.62 = 5,644.08 : x
2. Step 2: Convert to fraction form
   10,359.84/14,296.62 = 5,644.08/x
3. Step 3: Cross multiply
   10,359.84x = 14,296.62 × 5,644.08
4. Step 4: Simplify right side
   10,359.84x = 80,691,267.01
5. Step 5: Solve for x
   x = 80,691,267.01/10,359.84
6. Step 6: Final answer
   x = 7,788.85