Finding the Fourth Proportional to 11,677.76, 17,522.71 and 3,782.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.76 : 17,522.71 = 3,782.69 : x
2. Step 2: Convert to fraction form
   11,677.76/17,522.71 = 3,782.69/x
3. Step 3: Cross multiply
   11,677.76x = 17,522.71 × 3,782.69
4. Step 4: Simplify right side
   11,677.76x = 66,282,979.89
5. Step 5: Solve for x
   x = 66,282,979.89/11,677.76
6. Step 6: Final answer
   x = 5,676.00