Finding the Fourth Proportional to 10,455.87, 14,429.30 and 5,740.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455.87 : 14,429.30 = 5,740.32 : x
2. Step 2: Convert to fraction form
   10,455.87/14,429.30 = 5,740.32/x
3. Step 3: Cross multiply
   10,455.87x = 14,429.30 × 5,740.32
4. Step 4: Simplify right side
   10,455.87x = 82,828,770.67
5. Step 5: Solve for x
   x = 82,828,770.67/10,455.87
6. Step 6: Final answer
   x = 7,921.75