Finding the Fourth Proportional to 10,419.58, 14,379 and 5,703.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.58 : 14,379 = 5,703.94 : x
2. Step 2: Convert to fraction form
   10,419.58/14,379 = 5,703.94/x
3. Step 3: Cross multiply
   10,419.58x = 14,379 × 5,703.94
4. Step 4: Simplify right side
   10,419.58x = 82,016,953.26
5. Step 5: Solve for x
   x = 82,016,953.26/10,419.58
6. Step 6: Final answer
   x = 7,871.43