Finding the Fourth Proportional to 1,056.50, 1,457.87 and 614.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.50 : 1,457.87 = 614.42 : x
2. Step 2: Convert to fraction form
   1,056.50/1,457.87 = 614.42/x
3. Step 3: Cross multiply
   1,056.50x = 1,457.87 × 614.42
4. Step 4: Simplify right side
   1,056.50x = 895,734.12
5. Step 5: Solve for x
   x = 895,734.12/1,056.50
6. Step 6: Final answer
   x = 847.84