Finding the Fourth Proportional to 11,764.44, 17,651.22 and 5,185.98

Step by Step Solution

1. Step 1: Write the proportion equation
   11,764.44 : 17,651.22 = 5,185.98 : x
2. Step 2: Convert to fraction form
   11,764.44/17,651.22 = 5,185.98/x
3. Step 3: Cross multiply
   11,764.44x = 17,651.22 × 5,185.98
4. Step 4: Simplify right side
   11,764.44x = 91,538,873.90
5. Step 5: Solve for x
   x = 91,538,873.90/11,764.44
6. Step 6: Final answer
   x = 7,780.98