Finding the Fourth Proportional to 5,111.10, 7,667.80 and 1,824.19

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.10 : 7,667.80 = 1,824.19 : x
2. Step 2: Convert to fraction form
   5,111.10/7,667.80 = 1,824.19/x
3. Step 3: Cross multiply
   5,111.10x = 7,667.80 × 1,824.19
4. Step 4: Simplify right side
   5,111.10x = 13,987,500.35
5. Step 5: Solve for x
   x = 13,987,500.35/5,111.10
6. Step 6: Final answer
   x = 2,736.69