Finding the Fourth Proportional to 10,644.58, 14,694.02 and 7,580.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644.58 : 14,694.02 = 7,580.39 : x
2. Step 2: Convert to fraction form
   10,644.58/14,694.02 = 7,580.39/x
3. Step 3: Cross multiply
   10,644.58x = 14,694.02 × 7,580.39
4. Step 4: Simplify right side
   10,644.58x = 111,386,329.98
5. Step 5: Solve for x
   x = 111,386,329.98/10,644.58
6. Step 6: Final answer
   x = 10,464.14