Finding the Fourth Proportional to 1,665.48, 2,498.34 and 512.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.48 : 2,498.34 = 512.04 : x
2. Step 2: Convert to fraction form
   1,665.48/2,498.34 = 512.04/x
3. Step 3: Cross multiply
   1,665.48x = 2,498.34 × 512.04
4. Step 4: Simplify right side
   1,665.48x = 1,279,250.01
5. Step 5: Solve for x
   x = 1,279,250.01/1,665.48
6. Step 6: Final answer
   x = 768.10