Finding the Fourth Proportional to 9,976.56, 13,766.81 and 5,727.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976.56 : 13,766.81 = 5,727.53 : x
2. Step 2: Convert to fraction form
   9,976.56/13,766.81 = 5,727.53/x
3. Step 3: Cross multiply
   9,976.56x = 13,766.81 × 5,727.53
4. Step 4: Simplify right side
   9,976.56x = 78,849,719.81
5. Step 5: Solve for x
   x = 78,849,719.81/9,976.56
6. Step 6: Final answer
   x = 7,903.50