Finding the Fourth Proportional to 9,792.81, 14,670.08 and 7,822.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792.81 : 14,670.08 = 7,822.46 : x
2. Step 2: Convert to fraction form
   9,792.81/14,670.08 = 7,822.46/x
3. Step 3: Cross multiply
   9,792.81x = 14,670.08 × 7,822.46
4. Step 4: Simplify right side
   9,792.81x = 114,756,140.89
5. Step 5: Solve for x
   x = 114,756,140.89/9,792.81
6. Step 6: Final answer
   x = 11,718.41