Finding the Fourth Proportional to 9,694.42, 13,377.94 and 5,923.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,694.42 : 13,377.94 = 5,923.89 : x
2. Step 2: Convert to fraction form
   9,694.42/13,377.94 = 5,923.89/x
3. Step 3: Cross multiply
   9,694.42x = 13,377.94 × 5,923.89
4. Step 4: Simplify right side
   9,694.42x = 79,249,430.18
5. Step 5: Solve for x
   x = 79,249,430.18/9,694.42
6. Step 6: Final answer
   x = 8,174.75