Finding the Fourth Proportional to 10,460.91, 14,436.01 and 5,680.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.91 : 14,436.01 = 5,680.82 : x
2. Step 2: Convert to fraction form
   10,460.91/14,436.01 = 5,680.82/x
3. Step 3: Cross multiply
   10,460.91x = 14,436.01 × 5,680.82
4. Step 4: Simplify right side
   10,460.91x = 82,008,273.74
5. Step 5: Solve for x
   x = 82,008,273.74/10,460.91
6. Step 6: Final answer
   x = 7,839.50