Finding the Fourth Proportional to 5,255.31, 7,876.30 and 5,199.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,255.31 : 7,876.30 = 5,199.69 : x
2. Step 2: Convert to fraction form
   5,255.31/7,876.30 = 5,199.69/x
3. Step 3: Cross multiply
   5,255.31x = 7,876.30 × 5,199.69
4. Step 4: Simplify right side
   5,255.31x = 40,954,341.38
5. Step 5: Solve for x
   x = 40,954,341.38/5,255.31
6. Step 6: Final answer
   x = 7,792.94