Finding the Fourth Proportional to 1,546.78, 2,134.56 and 883.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.78 : 2,134.56 = 883.75 : x
2. Step 2: Convert to fraction form
   1,546.78/2,134.56 = 883.75/x
3. Step 3: Cross multiply
   1,546.78x = 2,134.56 × 883.75
4. Step 4: Simplify right side
   1,546.78x = 1,886,417.40
5. Step 5: Solve for x
   x = 1,886,417.40/1,546.78
6. Step 6: Final answer
   x = 1,219.58