Finding the Fourth Proportional to 946.72, 1,419.38 and 507.98

Step by Step Solution

1. Step 1: Write the proportion equation
   946.72 : 1,419.38 = 507.98 : x
2. Step 2: Convert to fraction form
   946.72/1,419.38 = 507.98/x
3. Step 3: Cross multiply
   946.72x = 1,419.38 × 507.98
4. Step 4: Simplify right side
   946.72x = 721,016.65
5. Step 5: Solve for x
   x = 721,016.65/946.72
6. Step 6: Final answer
   x = 761.59