Finding the Fourth Proportional to 11,896.74, 17,847.61 and 3,577.37

Step by Step Solution

1. Step 1: Write the proportion equation
   11,896.74 : 17,847.61 = 3,577.37 : x
2. Step 2: Convert to fraction form
   11,896.74/17,847.61 = 3,577.37/x
3. Step 3: Cross multiply
   11,896.74x = 17,847.61 × 3,577.37
4. Step 4: Simplify right side
   11,896.74x = 63,847,406.40
5. Step 5: Solve for x
   x = 63,847,406.40/11,896.74
6. Step 6: Final answer
   x = 5,366.80