Finding the Fourth Proportional to 2,463.86, 3,689.18 and 1,537.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.86 : 3,689.18 = 1,537.58 : x
2. Step 2: Convert to fraction form
   2,463.86/3,689.18 = 1,537.58/x
3. Step 3: Cross multiply
   2,463.86x = 3,689.18 × 1,537.58
4. Step 4: Simplify right side
   2,463.86x = 5,672,409.38
5. Step 5: Solve for x
   x = 5,672,409.38/2,463.86
6. Step 6: Final answer
   x = 2,302.25