Finding the Fourth Proportional to 1,509.34, 2,083 and 1,012.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.34 : 2,083 = 1,012.81 : x
2. Step 2: Convert to fraction form
   1,509.34/2,083 = 1,012.81/x
3. Step 3: Cross multiply
   1,509.34x = 2,083 × 1,012.81
4. Step 4: Simplify right side
   1,509.34x = 2,109,683.23
5. Step 5: Solve for x
   x = 2,109,683.23/1,509.34
6. Step 6: Final answer
   x = 1,397.75