Finding the Fourth Proportional to 1,004.12, 1,385.61 and 611.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.12 : 1,385.61 = 611.10 : x
2. Step 2: Convert to fraction form
   1,004.12/1,385.61 = 611.10/x
3. Step 3: Cross multiply
   1,004.12x = 1,385.61 × 611.10
4. Step 4: Simplify right side
   1,004.12x = 846,746.27
5. Step 5: Solve for x
   x = 846,746.27/1,004.12
6. Step 6: Final answer
   x = 843.27