Finding the Fourth Proportional to 2,603.84, 3,896.94 and 1,506.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,603.84 : 3,896.94 = 1,506.56 : x
2. Step 2: Convert to fraction form
   2,603.84/3,896.94 = 1,506.56/x
3. Step 3: Cross multiply
   2,603.84x = 3,896.94 × 1,506.56
4. Step 4: Simplify right side
   2,603.84x = 5,870,973.93
5. Step 5: Solve for x
   x = 5,870,973.93/2,603.84
6. Step 6: Final answer
   x = 2,254.74