Finding the Fourth Proportional to 1,077.94, 1,616.88 and 461.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.94 : 1,616.88 = 461.34 : x
2. Step 2: Convert to fraction form
   1,077.94/1,616.88 = 461.34/x
3. Step 3: Cross multiply
   1,077.94x = 1,616.88 × 461.34
4. Step 4: Simplify right side
   1,077.94x = 745,931.42
5. Step 5: Solve for x
   x = 745,931.42/1,077.94
6. Step 6: Final answer
   x = 692.00