Finding the Fourth Proportional to 1,084.19, 1,624.59 and 838.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.19 : 1,624.59 = 838.00 : x
2. Step 2: Convert to fraction form
   1,084.19/1,624.59 = 838.00/x
3. Step 3: Cross multiply
   1,084.19x = 1,624.59 × 838.00
4. Step 4: Simplify right side
   1,084.19x = 1,361,404.83
5. Step 5: Solve for x
   x = 1,361,404.83/1,084.19
6. Step 6: Final answer
   x = 1,255.68