Finding the Fourth Proportional to 9,685.98, 13,366.71 and 5,494.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.98 : 13,366.71 = 5,494.14 : x
2. Step 2: Convert to fraction form
   9,685.98/13,366.71 = 5,494.14/x
3. Step 3: Cross multiply
   9,685.98x = 13,366.71 × 5,494.14
4. Step 4: Simplify right side
   9,685.98x = 73,438,576.08
5. Step 5: Solve for x
   x = 73,438,576.08/9,685.98
6. Step 6: Final answer
   x = 7,581.95