Finding the Fourth Proportional to 10,086.96, 13,919.64 and 5,610.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.96 : 13,919.64 = 5,610.61 : x
2. Step 2: Convert to fraction form
   10,086.96/13,919.64 = 5,610.61/x
3. Step 3: Cross multiply
   10,086.96x = 13,919.64 × 5,610.61
4. Step 4: Simplify right side
   10,086.96x = 78,097,671.38
5. Step 5: Solve for x
   x = 78,097,671.38/10,086.96
6. Step 6: Final answer
   x = 7,742.44