Finding the Fourth Proportional to 10,435.28, 14,400.20 and 5,719.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,435.28 : 14,400.20 = 5,719.46 : x
2. Step 2: Convert to fraction form
   10,435.28/14,400.20 = 5,719.46/x
3. Step 3: Cross multiply
   10,435.28x = 14,400.20 × 5,719.46
4. Step 4: Simplify right side
   10,435.28x = 82,361,295.89
5. Step 5: Solve for x
   x = 82,361,295.89/10,435.28
6. Step 6: Final answer
   x = 7,892.59