Finding the Fourth Proportional to 10,460.94, 14,436.05 and 5,680.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.94 : 14,436.05 = 5,680.85 : x
2. Step 2: Convert to fraction form
   10,460.94/14,436.05 = 5,680.85/x
3. Step 3: Cross multiply
   10,460.94x = 14,436.05 × 5,680.85
4. Step 4: Simplify right side
   10,460.94x = 82,008,962.46
5. Step 5: Solve for x
   x = 82,008,962.46/10,460.94
6. Step 6: Final answer
   x = 7,839.54