Finding the Fourth Proportional to 10,504.48, 14,495.60 and 5,788.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.48 : 14,495.60 = 5,788.40 : x
2. Step 2: Convert to fraction form
   10,504.48/14,495.60 = 5,788.40/x
3. Step 3: Cross multiply
   10,504.48x = 14,495.60 × 5,788.40
4. Step 4: Simplify right side
   10,504.48x = 83,906,331.04
5. Step 5: Solve for x
   x = 83,906,331.04/10,504.48
6. Step 6: Final answer
   x = 7,987.67