Finding the Fourth Proportional to 10,504.58, 14,496.19 and 5,788.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.58 : 14,496.19 = 5,788.76 : x
2. Step 2: Convert to fraction form
   10,504.58/14,496.19 = 5,788.76/x
3. Step 3: Cross multiply
   10,504.58x = 14,496.19 × 5,788.76
4. Step 4: Simplify right side
   10,504.58x = 83,914,877.87
5. Step 5: Solve for x
   x = 83,914,877.87/10,504.58
6. Step 6: Final answer
   x = 7,988.41