Finding the Fourth Proportional to 10,218.41, 14,101.76 and 5,742.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,218.41 : 14,101.76 = 5,742.06 : x
2. Step 2: Convert to fraction form
   10,218.41/14,101.76 = 5,742.06/x
3. Step 3: Cross multiply
   10,218.41x = 14,101.76 × 5,742.06
4. Step 4: Simplify right side
   10,218.41x = 80,973,123.32
5. Step 5: Solve for x
   x = 80,973,123.32/10,218.41
6. Step 6: Final answer
   x = 7,924.24