Finding the Fourth Proportional to 1,154.56, 1,732.82 and 461.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154.56 : 1,732.82 = 461.71 : x
2. Step 2: Convert to fraction form
   1,154.56/1,732.82 = 461.71/x
3. Step 3: Cross multiply
   1,154.56x = 1,732.82 × 461.71
4. Step 4: Simplify right side
   1,154.56x = 800,061.91
5. Step 5: Solve for x
   x = 800,061.91/1,154.56
6. Step 6: Final answer
   x = 692.96