Finding the Fourth Proportional to 746.37, 1,117.72 and 514.61

Step by Step Solution

1. Step 1: Write the proportion equation
   746.37 : 1,117.72 = 514.61 : x
2. Step 2: Convert to fraction form
   746.37/1,117.72 = 514.61/x
3. Step 3: Cross multiply
   746.37x = 1,117.72 × 514.61
4. Step 4: Simplify right side
   746.37x = 575,189.89
5. Step 5: Solve for x
   x = 575,189.89/746.37
6. Step 6: Final answer
   x = 770.65