Finding the Fourth Proportional to 10,089.66, 13,922.48 and 5,613.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.66 : 13,922.48 = 5,613.10 : x
2. Step 2: Convert to fraction form
   10,089.66/13,922.48 = 5,613.10/x
3. Step 3: Cross multiply
   10,089.66x = 13,922.48 × 5,613.10
4. Step 4: Simplify right side
   10,089.66x = 78,148,251.71
5. Step 5: Solve for x
   x = 78,148,251.71/10,089.66
6. Step 6: Final answer
   x = 7,745.38