Finding the Fourth Proportional to 1,264.61, 1,896.57 and 534.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.61 : 1,896.57 = 534.02 : x
2. Step 2: Convert to fraction form
   1,264.61/1,896.57 = 534.02/x
3. Step 3: Cross multiply
   1,264.61x = 1,896.57 × 534.02
4. Step 4: Simplify right side
   1,264.61x = 1,012,796.83
5. Step 5: Solve for x
   x = 1,012,796.83/1,264.61
6. Step 6: Final answer
   x = 800.88