Finding the Fourth Proportional to 9,768.01, 14,654.32 and 3,194.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.01 : 14,654.32 = 3,194.17 : x
2. Step 2: Convert to fraction form
   9,768.01/14,654.32 = 3,194.17/x
3. Step 3: Cross multiply
   9,768.01x = 14,654.32 × 3,194.17
4. Step 4: Simplify right side
   9,768.01x = 46,808,389.31
5. Step 5: Solve for x
   x = 46,808,389.31/9,768.01
6. Step 6: Final answer
   x = 4,792.01