Finding the Fourth Proportional to 10,090.10, 13,923.95 and 5,613.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.10 : 13,923.95 = 5,613.71 : x
2. Step 2: Convert to fraction form
   10,090.10/13,923.95 = 5,613.71/x
3. Step 3: Cross multiply
   10,090.10x = 13,923.95 × 5,613.71
4. Step 4: Simplify right side
   10,090.10x = 78,164,919.67
5. Step 5: Solve for x
   x = 78,164,919.67/10,090.10
6. Step 6: Final answer
   x = 7,746.70