Finding the Fourth Proportional to 1,546.50, 2,134.18 and 838.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.50 : 2,134.18 = 838.35 : x
2. Step 2: Convert to fraction form
   1,546.50/2,134.18 = 838.35/x
3. Step 3: Cross multiply
   1,546.50x = 2,134.18 × 838.35
4. Step 4: Simplify right side
   1,546.50x = 1,789,189.80
5. Step 5: Solve for x
   x = 1,789,189.80/1,546.50
6. Step 6: Final answer
   x = 1,156.93