Finding the Fourth Proportional to 10,090.23, 13,923.15 and 5,613.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.23 : 13,923.15 = 5,613.41 : x
2. Step 2: Convert to fraction form
   10,090.23/13,923.15 = 5,613.41/x
3. Step 3: Cross multiply
   10,090.23x = 13,923.15 × 5,613.41
4. Step 4: Simplify right side
   10,090.23x = 78,156,279.83
5. Step 5: Solve for x
   x = 78,156,279.83/10,090.23
6. Step 6: Final answer
   x = 7,745.74