Finding the Fourth Proportional to 1,665.50, 2,494.53 and 1,177.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.50 : 2,494.53 = 1,177.07 : x
2. Step 2: Convert to fraction form
   1,665.50/2,494.53 = 1,177.07/x
3. Step 3: Cross multiply
   1,665.50x = 2,494.53 × 1,177.07
4. Step 4: Simplify right side
   1,665.50x = 2,936,223.95
5. Step 5: Solve for x
   x = 2,936,223.95/1,665.50
6. Step 6: Final answer
   x = 1,762.97