Finding the Fourth Proportional to 933.98, 1,288.82 and 514.27

Step by Step Solution

1. Step 1: Write the proportion equation
   933.98 : 1,288.82 = 514.27 : x
2. Step 2: Convert to fraction form
   933.98/1,288.82 = 514.27/x
3. Step 3: Cross multiply
   933.98x = 1,288.82 × 514.27
4. Step 4: Simplify right side
   933.98x = 662,795.67
5. Step 5: Solve for x
   x = 662,795.67/933.98
6. Step 6: Final answer
   x = 709.64