Finding the Fourth Proportional to 11,851.98, 17,781.30 and 5,189.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,851.98 : 17,781.30 = 5,189.07 : x
2. Step 2: Convert to fraction form
   11,851.98/17,781.30 = 5,189.07/x
3. Step 3: Cross multiply
   11,851.98x = 17,781.30 × 5,189.07
4. Step 4: Simplify right side
   11,851.98x = 92,268,410.39
5. Step 5: Solve for x
   x = 92,268,410.39/11,851.98
6. Step 6: Final answer
   x = 7,785.06