Finding the Fourth Proportional to 10,434.88, 14,400.64 and 5,719.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.88 : 14,400.64 = 5,719.36 : x
2. Step 2: Convert to fraction form
   10,434.88/14,400.64 = 5,719.36/x
3. Step 3: Cross multiply
   10,434.88x = 14,400.64 × 5,719.36
4. Step 4: Simplify right side
   10,434.88x = 82,362,444.39
5. Step 5: Solve for x
   x = 82,362,444.39/10,434.88
6. Step 6: Final answer
   x = 7,892.99