Finding the Fourth Proportional to 9,727.41, 13,420.71 and 5,749.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.41 : 13,420.71 = 5,749.86 : x
2. Step 2: Convert to fraction form
   9,727.41/13,420.71 = 5,749.86/x
3. Step 3: Cross multiply
   9,727.41x = 13,420.71 × 5,749.86
4. Step 4: Simplify right side
   9,727.41x = 77,167,203.60
5. Step 5: Solve for x
   x = 77,167,203.60/9,727.41
6. Step 6: Final answer
   x = 7,932.97