Finding the Fourth Proportional to 9,931.82, 13,707.09 and 5,740.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,931.82 : 13,707.09 = 5,740.07 : x
2. Step 2: Convert to fraction form
   9,931.82/13,707.09 = 5,740.07/x
3. Step 3: Cross multiply
   9,931.82x = 13,707.09 × 5,740.07
4. Step 4: Simplify right side
   9,931.82x = 78,679,587.56
5. Step 5: Solve for x
   x = 78,679,587.56/9,931.82
6. Step 6: Final answer
   x = 7,921.97