Finding the Fourth Proportional to 1,204.63, 1,662.06 and 762.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.63 : 1,662.06 = 762.72 : x
2. Step 2: Convert to fraction form
   1,204.63/1,662.06 = 762.72/x
3. Step 3: Cross multiply
   1,204.63x = 1,662.06 × 762.72
4. Step 4: Simplify right side
   1,204.63x = 1,267,682.59
5. Step 5: Solve for x
   x = 1,267,682.59/1,204.63
6. Step 6: Final answer
   x = 1,052.34