Finding the Fourth Proportional to 10,396.03, 14,346.50 and 5,680.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396.03 : 14,346.50 = 5,680.35 : x
2. Step 2: Convert to fraction form
   10,396.03/14,346.50 = 5,680.35/x
3. Step 3: Cross multiply
   10,396.03x = 14,346.50 × 5,680.35
4. Step 4: Simplify right side
   10,396.03x = 81,493,141.28
5. Step 5: Solve for x
   x = 81,493,141.28/10,396.03
6. Step 6: Final answer
   x = 7,838.87