Finding the Fourth Proportional to 10,090.86, 13,925.27 and 5,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.86 : 13,925.27 = 5,614.50 : x
2. Step 2: Convert to fraction form
   10,090.86/13,925.27 = 5,614.50/x
3. Step 3: Cross multiply
   10,090.86x = 13,925.27 × 5,614.50
4. Step 4: Simplify right side
   10,090.86x = 78,183,400.34
5. Step 5: Solve for x
   x = 78,183,400.34/10,090.86
6. Step 6: Final answer
   x = 7,747.94