Finding the Fourth Proportional to 10,456.03, 14,428.60 and 5,740.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.03 : 14,428.60 = 5,740.62 : x
2. Step 2: Convert to fraction form
   10,456.03/14,428.60 = 5,740.62/x
3. Step 3: Cross multiply
   10,456.03x = 14,428.60 × 5,740.62
4. Step 4: Simplify right side
   10,456.03x = 82,829,109.73
5. Step 5: Solve for x
   x = 82,829,109.73/10,456.03
6. Step 6: Final answer
   x = 7,921.66