Finding the Fourth Proportional to 9,145.84, 13,685.94 and 7,680.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,145.84 : 13,685.94 = 7,680.54 : x
2. Step 2: Convert to fraction form
   9,145.84/13,685.94 = 7,680.54/x
3. Step 3: Cross multiply
   9,145.84x = 13,685.94 × 7,680.54
4. Step 4: Simplify right side
   9,145.84x = 105,115,409.61
5. Step 5: Solve for x
   x = 105,115,409.61/9,145.84
6. Step 6: Final answer
   x = 11,493.25