Finding the Fourth Proportional to 10,419.16, 14,377.94 and 5,703.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.16 : 14,377.94 = 5,703.48 : x
2. Step 2: Convert to fraction form
   10,419.16/14,377.94 = 5,703.48/x
3. Step 3: Cross multiply
   10,419.16x = 14,377.94 × 5,703.48
4. Step 4: Simplify right side
   10,419.16x = 82,004,293.23
5. Step 5: Solve for x
   x = 82,004,293.23/10,419.16
6. Step 6: Final answer
   x = 7,870.53