Finding the Fourth Proportional to 10,434.86, 14,400.47 and 5,719.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.86 : 14,400.47 = 5,719.14 : x
2. Step 2: Convert to fraction form
   10,434.86/14,400.47 = 5,719.14/x
3. Step 3: Cross multiply
   10,434.86x = 14,400.47 × 5,719.14
4. Step 4: Simplify right side
   10,434.86x = 82,358,203.40
5. Step 5: Solve for x
   x = 82,358,203.40/10,434.86
6. Step 6: Final answer
   x = 7,892.61