Finding the Fourth Proportional to 4,109.82, 5,674.16 and 2,538.82

Step by Step Solution

1. Step 1: Write the proportion equation
   4,109.82 : 5,674.16 = 2,538.82 : x
2. Step 2: Convert to fraction form
   4,109.82/5,674.16 = 2,538.82/x
3. Step 3: Cross multiply
   4,109.82x = 5,674.16 × 2,538.82
4. Step 4: Simplify right side
   4,109.82x = 14,405,670.89
5. Step 5: Solve for x
   x = 14,405,670.89/4,109.82
6. Step 6: Final answer
   x = 3,505.18