Finding the Fourth Proportional to 2,461.50, 3,683.59 and 1,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.50 : 3,683.59 = 1,537.50 : x
2. Step 2: Convert to fraction form
   2,461.50/3,683.59 = 1,537.50/x
3. Step 3: Cross multiply
   2,461.50x = 3,683.59 × 1,537.50
4. Step 4: Simplify right side
   2,461.50x = 5,663,501.97
5. Step 5: Solve for x
   x = 5,663,501.97/2,461.50
6. Step 6: Final answer
   x = 2,300.83