Finding the Fourth Proportional to 2,665.14, 3,677.91 and 1,546.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.14 : 3,677.91 = 1,546.74 : x
2. Step 2: Convert to fraction form
   2,665.14/3,677.91 = 1,546.74/x
3. Step 3: Cross multiply
   2,665.14x = 3,677.91 × 1,546.74
4. Step 4: Simplify right side
   2,665.14x = 5,688,764.71
5. Step 5: Solve for x
   x = 5,688,764.71/2,665.14
6. Step 6: Final answer
   x = 2,134.51