Finding the Fourth Proportional to 1,706.10, 2,556.72 and 841.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.10 : 2,556.72 = 841.02 : x
2. Step 2: Convert to fraction form
   1,706.10/2,556.72 = 841.02/x
3. Step 3: Cross multiply
   1,706.10x = 2,556.72 × 841.02
4. Step 4: Simplify right side
   1,706.10x = 2,150,252.65
5. Step 5: Solve for x
   x = 2,150,252.65/1,706.10
6. Step 6: Final answer
   x = 1,260.33