Finding the Fourth Proportional to 1,742.61, 2,613.23 and 646.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.61 : 2,613.23 = 646.72 : x
2. Step 2: Convert to fraction form
   1,742.61/2,613.23 = 646.72/x
3. Step 3: Cross multiply
   1,742.61x = 2,613.23 × 646.72
4. Step 4: Simplify right side
   1,742.61x = 1,690,029.72
5. Step 5: Solve for x
   x = 1,690,029.72/1,742.61
6. Step 6: Final answer
   x = 969.83