Finding the Fourth Proportional to 1,004.64, 1,385.61 and 611.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.64 : 1,385.61 = 611.59 : x
2. Step 2: Convert to fraction form
   1,004.64/1,385.61 = 611.59/x
3. Step 3: Cross multiply
   1,004.64x = 1,385.61 × 611.59
4. Step 4: Simplify right side
   1,004.64x = 847,418.29
5. Step 5: Solve for x
   x = 847,418.29/1,004.64
6. Step 6: Final answer
   x = 843.50