Finding the Fourth Proportional to 2,537.61, 3,806.72 and 893.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.61 : 3,806.72 = 893.82 : x
2. Step 2: Convert to fraction form
   2,537.61/3,806.72 = 893.82/x
3. Step 3: Cross multiply
   2,537.61x = 3,806.72 × 893.82
4. Step 4: Simplify right side
   2,537.61x = 3,402,522.47
5. Step 5: Solve for x
   x = 3,402,522.47/2,537.61
6. Step 6: Final answer
   x = 1,340.84