Finding the Fourth Proportional to 10,086.89, 13,919.80 and 5,610.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.89 : 13,919.80 = 5,610.63 : x
2. Step 2: Convert to fraction form
   10,086.89/13,919.80 = 5,610.63/x
3. Step 3: Cross multiply
   10,086.89x = 13,919.80 × 5,610.63
4. Step 4: Simplify right side
   10,086.89x = 78,098,847.47
5. Step 5: Solve for x
   x = 78,098,847.47/10,086.89
6. Step 6: Final answer
   x = 7,742.61