Finding the Fourth Proportional to 1,053.50, 1,581.21 and 533.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.50 : 1,581.21 = 533.86 : x
2. Step 2: Convert to fraction form
   1,053.50/1,581.21 = 533.86/x
3. Step 3: Cross multiply
   1,053.50x = 1,581.21 × 533.86
4. Step 4: Simplify right side
   1,053.50x = 844,141.82
5. Step 5: Solve for x
   x = 844,141.82/1,053.50
6. Step 6: Final answer
   x = 801.28