Finding the Fourth Proportional to 9,914.97, 13,679.10 and 5,662.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.97 : 13,679.10 = 5,662.98 : x
2. Step 2: Convert to fraction form
   9,914.97/13,679.10 = 5,662.98/x
3. Step 3: Cross multiply
   9,914.97x = 13,679.10 × 5,662.98
4. Step 4: Simplify right side
   9,914.97x = 77,464,469.72
5. Step 5: Solve for x
   x = 77,464,469.72/9,914.97
6. Step 6: Final answer
   x = 7,812.88