Finding the Fourth Proportional to 1,314.82, 1,814.41 and 725.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.82 : 1,814.41 = 725.34 : x
2. Step 2: Convert to fraction form
   1,314.82/1,814.41 = 725.34/x
3. Step 3: Cross multiply
   1,314.82x = 1,814.41 × 725.34
4. Step 4: Simplify right side
   1,314.82x = 1,316,064.15
5. Step 5: Solve for x
   x = 1,316,064.15/1,314.82
6. Step 6: Final answer
   x = 1,000.95