Finding the Fourth Proportional to 11,766.84, 17,624.34 and 7,140.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.84 : 17,624.34 = 7,140.12 : x
2. Step 2: Convert to fraction form
   11,766.84/17,624.34 = 7,140.12/x
3. Step 3: Cross multiply
   11,766.84x = 17,624.34 × 7,140.12
4. Step 4: Simplify right side
   11,766.84x = 125,839,902.52
5. Step 5: Solve for x
   x = 125,839,902.52/11,766.84
6. Step 6: Final answer
   x = 10,694.45