Finding the Fourth Proportional to 10,578.24, 14,604.84 and 7,437.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.24 : 14,604.84 = 7,437.60 : x
2. Step 2: Convert to fraction form
   10,578.24/14,604.84 = 7,437.60/x
3. Step 3: Cross multiply
   10,578.24x = 14,604.84 × 7,437.60
4. Step 4: Simplify right side
   10,578.24x = 108,624,957.98
5. Step 5: Solve for x
   x = 108,624,957.98/10,578.24
6. Step 6: Final answer
   x = 10,268.72