Finding the Fourth Proportional to 10,396.30, 14,346.88 and 5,680.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396.30 : 14,346.88 = 5,680.58 : x
2. Step 2: Convert to fraction form
   10,396.30/14,346.88 = 5,680.58/x
3. Step 3: Cross multiply
   10,396.30x = 14,346.88 × 5,680.58
4. Step 4: Simplify right side
   10,396.30x = 81,498,599.59
5. Step 5: Solve for x
   x = 81,498,599.59/10,396.30
6. Step 6: Final answer
   x = 7,839.19