Finding the Fourth Proportional to 11,546.02, 17,319.69 and 3,648.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,546.02 : 17,319.69 = 3,648.78 : x
2. Step 2: Convert to fraction form
   11,546.02/17,319.69 = 3,648.78/x
3. Step 3: Cross multiply
   11,546.02x = 17,319.69 × 3,648.78
4. Step 4: Simplify right side
   11,546.02x = 63,195,738.48
5. Step 5: Solve for x
   x = 63,195,738.48/11,546.02
6. Step 6: Final answer
   x = 5,473.38