Finding the Fourth Proportional to 10,419.32, 14,378.82 and 5,704.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.32 : 14,378.82 = 5,704.04 : x
2. Step 2: Convert to fraction form
   10,419.32/14,378.82 = 5,704.04/x
3. Step 3: Cross multiply
   10,419.32x = 14,378.82 × 5,704.04
4. Step 4: Simplify right side
   10,419.32x = 82,017,364.43
5. Step 5: Solve for x
   x = 82,017,364.43/10,419.32
6. Step 6: Final answer
   x = 7,871.66