Finding the Fourth Proportional to 5,111.58, 7,667.90 and 1,824.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.58 : 7,667.90 = 1,824.96 : x
2. Step 2: Convert to fraction form
   5,111.58/7,667.90 = 1,824.96/x
3. Step 3: Cross multiply
   5,111.58x = 7,667.90 × 1,824.96
4. Step 4: Simplify right side
   5,111.58x = 13,993,610.78
5. Step 5: Solve for x
   x = 13,993,610.78/5,111.58
6. Step 6: Final answer
   x = 2,737.63