Finding the Fourth Proportional to 1,457.85, 2,185.58 and 678.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.85 : 2,185.58 = 678.34 : x
2. Step 2: Convert to fraction form
   1,457.85/2,185.58 = 678.34/x
3. Step 3: Cross multiply
   1,457.85x = 2,185.58 × 678.34
4. Step 4: Simplify right side
   1,457.85x = 1,482,570.77
5. Step 5: Solve for x
   x = 1,482,570.77/1,457.85
6. Step 6: Final answer
   x = 1,016.95