Finding the Fourth Proportional to 1,266.72, 1,899.60 and 536.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.72 : 1,899.60 = 536.64 : x
2. Step 2: Convert to fraction form
   1,266.72/1,899.60 = 536.64/x
3. Step 3: Cross multiply
   1,266.72x = 1,899.60 × 536.64
4. Step 4: Simplify right side
   1,266.72x = 1,019,401.34
5. Step 5: Solve for x
   x = 1,019,401.34/1,266.72
6. Step 6: Final answer
   x = 804.76