Finding the Fourth Proportional to 5,109.24, 7,667.10 and 4,927.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.24 : 7,667.10 = 4,927.80 : x
2. Step 2: Convert to fraction form
   5,109.24/7,667.10 = 4,927.80/x
3. Step 3: Cross multiply
   5,109.24x = 7,667.10 × 4,927.80
4. Step 4: Simplify right side
   5,109.24x = 37,781,935.38
5. Step 5: Solve for x
   x = 37,781,935.38/5,109.24
6. Step 6: Final answer
   x = 7,394.82