Finding the Fourth Proportional to 2,804.94, 3,870.80 and 1,546.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,804.94 : 3,870.80 = 1,546.00 : x
2. Step 2: Convert to fraction form
   2,804.94/3,870.80 = 1,546.00/x
3. Step 3: Cross multiply
   2,804.94x = 3,870.80 × 1,546.00
4. Step 4: Simplify right side
   2,804.94x = 5,984,258.25
5. Step 5: Solve for x
   x = 5,984,258.25/2,804.94
6. Step 6: Final answer
   x = 2,133.47