Finding the Fourth Proportional to 766.42, 1,056.72 and 503.98

Step by Step Solution

1. Step 1: Write the proportion equation
   766.42 : 1,056.72 = 503.98 : x
2. Step 2: Convert to fraction form
   766.42/1,056.72 = 503.98/x
3. Step 3: Cross multiply
   766.42x = 1,056.72 × 503.98
4. Step 4: Simplify right side
   766.42x = 532,565.75
5. Step 5: Solve for x
   x = 532,565.75/766.42
6. Step 6: Final answer
   x = 694.87