Finding the Fourth Proportional to 10,458.22, 14,431.96 and 5,742.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.22 : 14,431.96 = 5,742.47 : x
2. Step 2: Convert to fraction form
   10,458.22/14,431.96 = 5,742.47/x
3. Step 3: Cross multiply
   10,458.22x = 14,431.96 × 5,742.47
4. Step 4: Simplify right side
   10,458.22x = 82,875,097.34
5. Step 5: Solve for x
   x = 82,875,097.34/10,458.22
6. Step 6: Final answer
   x = 7,924.40