Finding the Fourth Proportional to 10,435.14, 14,400.78 and 5,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,435.14 : 14,400.78 = 5,719.50 : x
2. Step 2: Convert to fraction form
   10,435.14/14,400.78 = 5,719.50/x
3. Step 3: Cross multiply
   10,435.14x = 14,400.78 × 5,719.50
4. Step 4: Simplify right side
   10,435.14x = 82,365,261.21
5. Step 5: Solve for x
   x = 82,365,261.21/10,435.14
6. Step 6: Final answer
   x = 7,893.07