Finding the Fourth Proportional to 10,089.97, 13,922.55 and 5,613.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.97 : 13,922.55 = 5,613.71 : x
2. Step 2: Convert to fraction form
   10,089.97/13,922.55 = 5,613.71/x
3. Step 3: Cross multiply
   10,089.97x = 13,922.55 × 5,613.71
4. Step 4: Simplify right side
   10,089.97x = 78,157,088.55
5. Step 5: Solve for x
   x = 78,157,088.55/10,089.97
6. Step 6: Final answer
   x = 7,746.02