Finding the Fourth Proportional to 10,679.98, 14,738.14 and 5,899.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,679.98 : 14,738.14 = 5,899.63 : x
2. Step 2: Convert to fraction form
   10,679.98/14,738.14 = 5,899.63/x
3. Step 3: Cross multiply
   10,679.98x = 14,738.14 × 5,899.63
4. Step 4: Simplify right side
   10,679.98x = 86,949,572.89
5. Step 5: Solve for x
   x = 86,949,572.89/10,679.98
6. Step 6: Final answer
   x = 8,141.36