Finding the Fourth Proportional to 9,975.49, 13,766.76 and 5,726.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.49 : 13,766.76 = 5,726.57 : x
2. Step 2: Convert to fraction form
   9,975.49/13,766.76 = 5,726.57/x
3. Step 3: Cross multiply
   9,975.49x = 13,766.76 × 5,726.57
4. Step 4: Simplify right side
   9,975.49x = 78,836,245.98
5. Step 5: Solve for x
   x = 78,836,245.98/9,975.49
6. Step 6: Final answer
   x = 7,903.00