Finding the Fourth Proportional to 1,004.30, 1,385.41 and 611.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.30 : 1,385.41 = 611.05 : x
2. Step 2: Convert to fraction form
   1,004.30/1,385.41 = 611.05/x
3. Step 3: Cross multiply
   1,004.30x = 1,385.41 × 611.05
4. Step 4: Simplify right side
   1,004.30x = 846,554.78
5. Step 5: Solve for x
   x = 846,554.78/1,004.30
6. Step 6: Final answer
   x = 842.93