Finding the Fourth Proportional to 10,504.61, 14,496.33 and 5,788.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.61 : 14,496.33 = 5,788.89 : x
2. Step 2: Convert to fraction form
   10,504.61/14,496.33 = 5,788.89/x
3. Step 3: Cross multiply
   10,504.61x = 14,496.33 × 5,788.89
4. Step 4: Simplify right side
   10,504.61x = 83,917,674.25
5. Step 5: Solve for x
   x = 83,917,674.25/10,504.61
6. Step 6: Final answer
   x = 7,988.65