Finding the Fourth Proportional to 10,504.48, 14,496.16 and 5,788.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.48 : 14,496.16 = 5,788.77 : x
2. Step 2: Convert to fraction form
   10,504.48/14,496.16 = 5,788.77/x
3. Step 3: Cross multiply
   10,504.48x = 14,496.16 × 5,788.77
4. Step 4: Simplify right side
   10,504.48x = 83,914,936.12
5. Step 5: Solve for x
   x = 83,914,936.12/10,504.48
6. Step 6: Final answer
   x = 7,988.49