Finding the Fourth Proportional to 2,457.59, 3,684.02 and 1,577.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.59 : 3,684.02 = 1,577.63 : x
2. Step 2: Convert to fraction form
   2,457.59/3,684.02 = 1,577.63/x
3. Step 3: Cross multiply
   2,457.59x = 3,684.02 × 1,577.63
4. Step 4: Simplify right side
   2,457.59x = 5,811,994.16
5. Step 5: Solve for x
   x = 5,811,994.16/2,457.59
6. Step 6: Final answer
   x = 2,364.92