Finding the Fourth Proportional to 5,111.33, 7,668.14 and 1,824.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.33 : 7,668.14 = 1,824.75 : x
2. Step 2: Convert to fraction form
   5,111.33/7,668.14 = 1,824.75/x
3. Step 3: Cross multiply
   5,111.33x = 7,668.14 × 1,824.75
4. Step 4: Simplify right side
   5,111.33x = 13,992,429.34
5. Step 5: Solve for x
   x = 13,992,429.34/5,111.33
6. Step 6: Final answer
   x = 2,737.53