Finding the Fourth Proportional to 10,513.80, 15,768.00 and 3,116.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513.80 : 15,768.00 = 3,116.53 : x
2. Step 2: Convert to fraction form
   10,513.80/15,768.00 = 3,116.53/x
3. Step 3: Cross multiply
   10,513.80x = 15,768.00 × 3,116.53
4. Step 4: Simplify right side
   10,513.80x = 49,141,350.62
5. Step 5: Solve for x
   x = 49,141,350.62/10,513.80
6. Step 6: Final answer
   x = 4,673.99