Finding the Fourth Proportional to 9,315.66, 12,855.24 and 5,683.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,315.66 : 12,855.24 = 5,683.40 : x
2. Step 2: Convert to fraction form
   9,315.66/12,855.24 = 5,683.40/x
3. Step 3: Cross multiply
   9,315.66x = 12,855.24 × 5,683.40
4. Step 4: Simplify right side
   9,315.66x = 73,061,471.02
5. Step 5: Solve for x
   x = 73,061,471.02/9,315.66
6. Step 6: Final answer
   x = 7,842.87