Finding the Fourth Proportional to 5,776.34, 7,954.56 and 5,019.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,776.34 : 7,954.56 = 5,019.77 : x
2. Step 2: Convert to fraction form
   5,776.34/7,954.56 = 5,019.77/x
3. Step 3: Cross multiply
   5,776.34x = 7,954.56 × 5,019.77
4. Step 4: Simplify right side
   5,776.34x = 39,930,061.65
5. Step 5: Solve for x
   x = 39,930,061.65/5,776.34
6. Step 6: Final answer
   x = 6,912.69