Finding the Fourth Proportional to 10,342.27, 14,271.88 and 5,742.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,342.27 : 14,271.88 = 5,742.76 : x
2. Step 2: Convert to fraction form
   10,342.27/14,271.88 = 5,742.76/x
3. Step 3: Cross multiply
   10,342.27x = 14,271.88 × 5,742.76
4. Step 4: Simplify right side
   10,342.27x = 81,959,978.50
5. Step 5: Solve for x
   x = 81,959,978.50/10,342.27
6. Step 6: Final answer
   x = 7,924.76