Finding the Fourth Proportional to 10,419.76, 14,378.88 and 5,704

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.76 : 14,378.88 = 5,704 : x
2. Step 2: Convert to fraction form
   10,419.76/14,378.88 = 5,704/x
3. Step 3: Cross multiply
   10,419.76x = 14,378.88 × 5,704
4. Step 4: Simplify right side
   10,419.76x = 82,017,131.52
5. Step 5: Solve for x
   x = 82,017,131.52/10,419.76
6. Step 6: Final answer
   x = 7,871.31