Finding the Fourth Proportional to 11,866.87, 17,791.52 and 7,185.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866.87 : 17,791.52 = 7,185.78 : x
2. Step 2: Convert to fraction form
   11,866.87/17,791.52 = 7,185.78/x
3. Step 3: Cross multiply
   11,866.87x = 17,791.52 × 7,185.78
4. Step 4: Simplify right side
   11,866.87x = 127,845,948.59
5. Step 5: Solve for x
   x = 127,845,948.59/11,866.87
6. Step 6: Final answer
   x = 10,773.35