Finding the Fourth Proportional to 10,209.94, 14,089.70 and 5,733.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209.94 : 14,089.70 = 5,733.78 : x
2. Step 2: Convert to fraction form
   10,209.94/14,089.70 = 5,733.78/x
3. Step 3: Cross multiply
   10,209.94x = 14,089.70 × 5,733.78
4. Step 4: Simplify right side
   10,209.94x = 80,787,240.07
5. Step 5: Solve for x
   x = 80,787,240.07/10,209.94
6. Step 6: Final answer
   x = 7,912.61