Finding the Fourth Proportional to 10,614.88, 14,649.14 and 5,899.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.88 : 14,649.14 = 5,899.46 : x
2. Step 2: Convert to fraction form
   10,614.88/14,649.14 = 5,899.46/x
3. Step 3: Cross multiply
   10,614.88x = 14,649.14 × 5,899.46
4. Step 4: Simplify right side
   10,614.88x = 86,422,015.46
5. Step 5: Solve for x
   x = 86,422,015.46/10,614.88
6. Step 6: Final answer
   x = 8,141.59