Finding the Fourth Proportional to 1,266.42, 1,899.83 and 536

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.42 : 1,899.83 = 536 : x
2. Step 2: Convert to fraction form
   1,266.42/1,899.83 = 536/x
3. Step 3: Cross multiply
   1,266.42x = 1,899.83 × 536
4. Step 4: Simplify right side
   1,266.42x = 1,018,308.88
5. Step 5: Solve for x
   x = 1,018,308.88/1,266.42
6. Step 6: Final answer
   x = 804.08