Finding the Fourth Proportional to 10,442.84, 14,411.56 and 5,727.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.84 : 14,411.56 = 5,727.30 : x
2. Step 2: Convert to fraction form
   10,442.84/14,411.56 = 5,727.30/x
3. Step 3: Cross multiply
   10,442.84x = 14,411.56 × 5,727.30
4. Step 4: Simplify right side
   10,442.84x = 82,539,327.59
5. Step 5: Solve for x
   x = 82,539,327.59/10,442.84
6. Step 6: Final answer
   x = 7,903.92