Finding the Fourth Proportional to 2,457.42, 3,682.29 and 1,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.42 : 3,682.29 = 1,543.50 : x
2. Step 2: Convert to fraction form
   2,457.42/3,682.29 = 1,543.50/x
3. Step 3: Cross multiply
   2,457.42x = 3,682.29 × 1,543.50
4. Step 4: Simplify right side
   2,457.42x = 5,683,614.62
5. Step 5: Solve for x
   x = 5,683,614.62/2,457.42
6. Step 6: Final answer
   x = 2,312.84