Finding the Fourth Proportional to 1,314.50, 1,814.00 and 725.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.50 : 1,814.00 = 725.05 : x
2. Step 2: Convert to fraction form
   1,314.50/1,814.00 = 725.05/x
3. Step 3: Cross multiply
   1,314.50x = 1,814.00 × 725.05
4. Step 4: Simplify right side
   1,314.50x = 1,315,239.34
5. Step 5: Solve for x
   x = 1,315,239.34/1,314.50
6. Step 6: Final answer
   x = 1,000.56