Finding the Fourth Proportional to 11,761.68, 17,647.91 and 5,100.22

Step by Step Solution

1. Step 1: Write the proportion equation
   11,761.68 : 17,647.91 = 5,100.22 : x
2. Step 2: Convert to fraction form
   11,761.68/17,647.91 = 5,100.22/x
3. Step 3: Cross multiply
   11,761.68x = 17,647.91 × 5,100.22
4. Step 4: Simplify right side
   11,761.68x = 90,008,223.54
5. Step 5: Solve for x
   x = 90,008,223.54/11,761.68
6. Step 6: Final answer
   x = 7,652.67