Finding the Fourth Proportional to 1,266.37, 1,899.69 and 536.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.37 : 1,899.69 = 536.02 : x
2. Step 2: Convert to fraction form
   1,266.37/1,899.69 = 536.02/x
3. Step 3: Cross multiply
   1,266.37x = 1,899.69 × 536.02
4. Step 4: Simplify right side
   1,266.37x = 1,018,271.83
5. Step 5: Solve for x
   x = 1,018,271.83/1,266.37
6. Step 6: Final answer
   x = 804.09