Finding the Fourth Proportional to 1,172.82, 1,758.15 and 523.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.82 : 1,758.15 = 523.02 : x
2. Step 2: Convert to fraction form
   1,172.82/1,758.15 = 523.02/x
3. Step 3: Cross multiply
   1,172.82x = 1,758.15 × 523.02
4. Step 4: Simplify right side
   1,172.82x = 919,547.61
5. Step 5: Solve for x
   x = 919,547.61/1,172.82
6. Step 6: Final answer
   x = 784.05