Finding the Fourth Proportional to 2,457.50, 3,683.82 and 1,156.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.50 : 3,683.82 = 1,156.64 : x
2. Step 2: Convert to fraction form
   2,457.50/3,683.82 = 1,156.64/x
3. Step 3: Cross multiply
   2,457.50x = 3,683.82 × 1,156.64
4. Step 4: Simplify right side
   2,457.50x = 4,260,853.56
5. Step 5: Solve for x
   x = 4,260,853.56/2,457.50
6. Step 6: Final answer
   x = 1,733.82