Finding the Fourth Proportional to 10,460.87, 14,435.95 and 5,680.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.87 : 14,435.95 = 5,680.83 : x
2. Step 2: Convert to fraction form
   10,460.87/14,435.95 = 5,680.83/x
3. Step 3: Cross multiply
   10,460.87x = 14,435.95 × 5,680.83
4. Step 4: Simplify right side
   10,460.87x = 82,008,177.84
5. Step 5: Solve for x
   x = 82,008,177.84/10,460.87
6. Step 6: Final answer
   x = 7,839.52