Finding the Fourth Proportional to 9,792.09, 14,683.68 and 5,845.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792.09 : 14,683.68 = 5,845.10 : x
2. Step 2: Convert to fraction form
   9,792.09/14,683.68 = 5,845.10/x
3. Step 3: Cross multiply
   9,792.09x = 14,683.68 × 5,845.10
4. Step 4: Simplify right side
   9,792.09x = 85,827,504.55
5. Step 5: Solve for x
   x = 85,827,504.55/9,792.09
6. Step 6: Final answer
   x = 8,764.98