Finding the Fourth Proportional to 11,786.07, 17,683.90 and 7,574.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,786.07 : 17,683.90 = 7,574.05 : x
2. Step 2: Convert to fraction form
   11,786.07/17,683.90 = 7,574.05/x
3. Step 3: Cross multiply
   11,786.07x = 17,683.90 × 7,574.05
4. Step 4: Simplify right side
   11,786.07x = 133,938,654.38
5. Step 5: Solve for x
   x = 133,938,654.38/11,786.07
6. Step 6: Final answer
   x = 11,364.15