Finding the Fourth Proportional to 9,314.56, 12,860.16 and 5,782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.56 : 12,860.16 = 5,782.96 : x
2. Step 2: Convert to fraction form
   9,314.56/12,860.16 = 5,782.96/x
3. Step 3: Cross multiply
   9,314.56x = 12,860.16 × 5,782.96
4. Step 4: Simplify right side
   9,314.56x = 74,369,790.87
5. Step 5: Solve for x
   x = 74,369,790.87/9,314.56
6. Step 6: Final answer
   x = 7,984.25