Finding the Fourth Proportional to 5,111.88, 7,667.80 and 2,188.28

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.88 : 7,667.80 = 2,188.28 : x
2. Step 2: Convert to fraction form
   5,111.88/7,667.80 = 2,188.28/x
3. Step 3: Cross multiply
   5,111.88x = 7,667.80 × 2,188.28
4. Step 4: Simplify right side
   5,111.88x = 16,779,293.38
5. Step 5: Solve for x
   x = 16,779,293.38/5,111.88
6. Step 6: Final answer
   x = 3,282.41