Finding the Fourth Proportional to 2,457.48, 3,680.37 and 1,577.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.48 : 3,680.37 = 1,577.19 : x
2. Step 2: Convert to fraction form
   2,457.48/3,680.37 = 1,577.19/x
3. Step 3: Cross multiply
   2,457.48x = 3,680.37 × 1,577.19
4. Step 4: Simplify right side
   2,457.48x = 5,804,642.76
5. Step 5: Solve for x
   x = 5,804,642.76/2,457.48
6. Step 6: Final answer
   x = 2,362.03