Finding the Fourth Proportional to 11,963.02, 17,947.14 and 3,642.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,963.02 : 17,947.14 = 3,642.82 : x
2. Step 2: Convert to fraction form
   11,963.02/17,947.14 = 3,642.82/x
3. Step 3: Cross multiply
   11,963.02x = 17,947.14 × 3,642.82
4. Step 4: Simplify right side
   11,963.02x = 65,378,200.53
5. Step 5: Solve for x
   x = 65,378,200.53/11,963.02
6. Step 6: Final answer
   x = 5,465.02