Finding the Fourth Proportional to 5,111.49, 7,666.92 and 1,824.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.49 : 7,666.92 = 1,824.42 : x
2. Step 2: Convert to fraction form
   5,111.49/7,666.92 = 1,824.42/x
3. Step 3: Cross multiply
   5,111.49x = 7,666.92 × 1,824.42
4. Step 4: Simplify right side
   5,111.49x = 13,987,682.19
5. Step 5: Solve for x
   x = 13,987,682.19/5,111.49
6. Step 6: Final answer
   x = 2,736.52