Finding the Fourth Proportional to 5,111.12, 7,667.31 and 1,824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.12 : 7,667.31 = 1,824.56 : x
2. Step 2: Convert to fraction form
   5,111.12/7,667.31 = 1,824.56/x
3. Step 3: Cross multiply
   5,111.12x = 7,667.31 × 1,824.56
4. Step 4: Simplify right side
   5,111.12x = 13,989,467.13
5. Step 5: Solve for x
   x = 13,989,467.13/5,111.12
6. Step 6: Final answer
   x = 2,737.06