Finding the Fourth Proportional to 1,546.72, 2,134.47 and 838.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.72 : 2,134.47 = 838.58 : x
2. Step 2: Convert to fraction form
   1,546.72/2,134.47 = 838.58/x
3. Step 3: Cross multiply
   1,546.72x = 2,134.47 × 838.58
4. Step 4: Simplify right side
   1,546.72x = 1,789,923.61
5. Step 5: Solve for x
   x = 1,789,923.61/1,546.72
6. Step 6: Final answer
   x = 1,157.24