Finding the Fourth Proportional to 1,172.02, 1,757.89 and 469.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.02 : 1,757.89 = 469.53 : x
2. Step 2: Convert to fraction form
   1,172.02/1,757.89 = 469.53/x
3. Step 3: Cross multiply
   1,172.02x = 1,757.89 × 469.53
4. Step 4: Simplify right side
   1,172.02x = 825,384.91
5. Step 5: Solve for x
   x = 825,384.91/1,172.02
6. Step 6: Final answer
   x = 704.24