Finding the Fourth Proportional to 1,546.83, 2,134.61 and 838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.83 : 2,134.61 = 838.69 : x
2. Step 2: Convert to fraction form
   1,546.83/2,134.61 = 838.69/x
3. Step 3: Cross multiply
   1,546.83x = 2,134.61 × 838.69
4. Step 4: Simplify right side
   1,546.83x = 1,790,276.06
5. Step 5: Solve for x
   x = 1,790,276.06/1,546.83
6. Step 6: Final answer
   x = 1,157.38