Finding the Fourth Proportional to 10,504.38, 14,496.12 and 5,788.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.38 : 14,496.12 = 5,788.74 : x
2. Step 2: Convert to fraction form
   10,504.38/14,496.12 = 5,788.74/x
3. Step 3: Cross multiply
   10,504.38x = 14,496.12 × 5,788.74
4. Step 4: Simplify right side
   10,504.38x = 83,914,269.69
5. Step 5: Solve for x
   x = 83,914,269.69/10,504.38
6. Step 6: Final answer
   x = 7,988.50