Finding the Fourth Proportional to 10,396.02, 14,345.94 and 5,680.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,396.02 : 14,345.94 = 5,680.20 : x
2. Step 2: Convert to fraction form
   10,396.02/14,345.94 = 5,680.20/x
3. Step 3: Cross multiply
   10,396.02x = 14,345.94 × 5,680.20
4. Step 4: Simplify right side
   10,396.02x = 81,487,808.39
5. Step 5: Solve for x
   x = 81,487,808.39/10,396.02
6. Step 6: Final answer
   x = 7,838.37