Finding the Fourth Proportional to 11,796.77, 17,686.96 and 5,219.37

Step by Step Solution

1. Step 1: Write the proportion equation
   11,796.77 : 17,686.96 = 5,219.37 : x
2. Step 2: Convert to fraction form
   11,796.77/17,686.96 = 5,219.37/x
3. Step 3: Cross multiply
   11,796.77x = 17,686.96 × 5,219.37
4. Step 4: Simplify right side
   11,796.77x = 92,314,775.37
5. Step 5: Solve for x
   x = 92,314,775.37/11,796.77
6. Step 6: Final answer
   x = 7,825.43