Finding the Fourth Proportional to 1,172.45, 1,758.74 and 514.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.45 : 1,758.74 = 514.00 : x
2. Step 2: Convert to fraction form
   1,172.45/1,758.74 = 514.00/x
3. Step 3: Cross multiply
   1,172.45x = 1,758.74 × 514.00
4. Step 4: Simplify right side
   1,172.45x = 903,983.54
5. Step 5: Solve for x
   x = 903,983.54/1,172.45
6. Step 6: Final answer
   x = 771.02