Finding the Fourth Proportional to 10,458.42, 14,431.68 and 5,742.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.42 : 14,431.68 = 5,742.60 : x
2. Step 2: Convert to fraction form
   10,458.42/14,431.68 = 5,742.60/x
3. Step 3: Cross multiply
   10,458.42x = 14,431.68 × 5,742.60
4. Step 4: Simplify right side
   10,458.42x = 82,875,365.57
5. Step 5: Solve for x
   x = 82,875,365.57/10,458.42
6. Step 6: Final answer
   x = 7,924.27