Finding the Fourth Proportional to 10,460.05, 14,434.81 and 5,679.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.05 : 14,434.81 = 5,679.95 : x
2. Step 2: Convert to fraction form
   10,460.05/14,434.81 = 5,679.95/x
3. Step 3: Cross multiply
   10,460.05x = 14,434.81 × 5,679.95
4. Step 4: Simplify right side
   10,460.05x = 81,989,039.39
5. Step 5: Solve for x
   x = 81,989,039.39/10,460.05
6. Step 6: Final answer
   x = 7,838.30