Finding the Fourth Proportional to 2,664.88, 3,677.52 and 1,546.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,664.88 : 3,677.52 = 1,546.47 : x
2. Step 2: Convert to fraction form
   2,664.88/3,677.52 = 1,546.47/x
3. Step 3: Cross multiply
   2,664.88x = 3,677.52 × 1,546.47
4. Step 4: Simplify right side
   2,664.88x = 5,687,180.15
5. Step 5: Solve for x
   x = 5,687,180.15/2,664.88
6. Step 6: Final answer
   x = 2,134.12