Finding the Fourth Proportional to 10,089.90, 13,924.04 and 5,613.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.90 : 13,924.04 = 5,613.71 : x
2. Step 2: Convert to fraction form
   10,089.90/13,924.04 = 5,613.71/x
3. Step 3: Cross multiply
   10,089.90x = 13,924.04 × 5,613.71
4. Step 4: Simplify right side
   10,089.90x = 78,165,424.90
5. Step 5: Solve for x
   x = 78,165,424.90/10,089.90
6. Step 6: Final answer
   x = 7,746.90