Finding the Fourth Proportional to 10,504.63, 14,496.01 and 5,788.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,504.63 : 14,496.01 = 5,788.90 : x
2. Step 2: Convert to fraction form
   10,504.63/14,496.01 = 5,788.90/x
3. Step 3: Cross multiply
   10,504.63x = 14,496.01 × 5,788.90
4. Step 4: Simplify right side
   10,504.63x = 83,915,952.29
5. Step 5: Solve for x
   x = 83,915,952.29/10,504.63
6. Step 6: Final answer
   x = 7,988.47