Finding the Fourth Proportional to 3,802.02, 5,702.63 and 1,028.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802.02 : 5,702.63 = 1,028.52 : x
2. Step 2: Convert to fraction form
   3,802.02/5,702.63 = 1,028.52/x
3. Step 3: Cross multiply
   3,802.02x = 5,702.63 × 1,028.52
4. Step 4: Simplify right side
   3,802.02x = 5,865,269.01
5. Step 5: Solve for x
   x = 5,865,269.01/3,802.02
6. Step 6: Final answer
   x = 1,542.67