Finding the Fourth Proportional to 3,801.16, 5,702.06 and 1,027.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,801.16 : 5,702.06 = 1,027.82 : x
2. Step 2: Convert to fraction form
   3,801.16/5,702.06 = 1,027.82/x
3. Step 3: Cross multiply
   3,801.16x = 5,702.06 × 1,027.82
4. Step 4: Simplify right side
   3,801.16x = 5,860,691.31
5. Step 5: Solve for x
   x = 5,860,691.31/3,801.16
6. Step 6: Final answer
   x = 1,541.82