Finding the Fourth Proportional to 10,089.41, 13,923.57 and 5,613.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.41 : 13,923.57 = 5,613.57 : x
2. Step 2: Convert to fraction form
   10,089.41/13,923.57 = 5,613.57/x
3. Step 3: Cross multiply
   10,089.41x = 13,923.57 × 5,613.57
4. Step 4: Simplify right side
   10,089.41x = 78,160,906.78
5. Step 5: Solve for x
   x = 78,160,906.78/10,089.41
6. Step 6: Final answer
   x = 7,746.83