Finding the Fourth Proportional to 2,501.75, 3,751.38 and 1,461.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.75 : 3,751.38 = 1,461.98 : x
2. Step 2: Convert to fraction form
   2,501.75/3,751.38 = 1,461.98/x
3. Step 3: Cross multiply
   2,501.75x = 3,751.38 × 1,461.98
4. Step 4: Simplify right side
   2,501.75x = 5,484,423.78
5. Step 5: Solve for x
   x = 5,484,423.78/2,501.75
6. Step 6: Final answer
   x = 2,192.24