Finding the Fourth Proportional to 10,218.52, 14,102.81 and 5,742.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,218.52 : 14,102.81 = 5,742.46 : x
2. Step 2: Convert to fraction form
   10,218.52/14,102.81 = 5,742.46/x
3. Step 3: Cross multiply
   10,218.52x = 14,102.81 × 5,742.46
4. Step 4: Simplify right side
   10,218.52x = 80,984,822.31
5. Step 5: Solve for x
   x = 80,984,822.31/10,218.52
6. Step 6: Final answer
   x = 7,925.30