Finding the Fourth Proportional to 10,435.20, 14,400.50 and 5,719.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,435.20 : 14,400.50 = 5,719.47 : x
2. Step 2: Convert to fraction form
   10,435.20/14,400.50 = 5,719.47/x
3. Step 3: Cross multiply
   10,435.20x = 14,400.50 × 5,719.47
4. Step 4: Simplify right side
   10,435.20x = 82,363,199.14
5. Step 5: Solve for x
   x = 82,363,199.14/10,435.20
6. Step 6: Final answer
   x = 7,892.82