Finding the Fourth Proportional to 1,314.98, 1,814.73 and 725.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.98 : 1,814.73 = 725.56 : x
2. Step 2: Convert to fraction form
   1,314.98/1,814.73 = 725.56/x
3. Step 3: Cross multiply
   1,314.98x = 1,814.73 × 725.56
4. Step 4: Simplify right side
   1,314.98x = 1,316,690.28
5. Step 5: Solve for x
   x = 1,316,690.28/1,314.98
6. Step 6: Final answer
   x = 1,001.30