Finding the Fourth Proportional to 1,056.34, 1,457.81 and 614.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.34 : 1,457.81 = 614.38 : x
2. Step 2: Convert to fraction form
   1,056.34/1,457.81 = 614.38/x
3. Step 3: Cross multiply
   1,056.34x = 1,457.81 × 614.38
4. Step 4: Simplify right side
   1,056.34x = 895,649.31
5. Step 5: Solve for x
   x = 895,649.31/1,056.34
6. Step 6: Final answer
   x = 847.88