Finding the Fourth Proportional to 10,504.51, 14,496.27 and 5,788.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.51 : 14,496.27 = 5,788.78 : x
2. Step 2: Convert to fraction form
   10,504.51/14,496.27 = 5,788.78/x
3. Step 3: Cross multiply
   10,504.51x = 14,496.27 × 5,788.78
4. Step 4: Simplify right side
   10,504.51x = 83,915,717.85
5. Step 5: Solve for x
   x = 83,915,717.85/10,504.51
6. Step 6: Final answer
   x = 7,988.54