Finding the Fourth Proportional to 1,837.50, 2,535.81 and 1,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,837.50 : 2,535.81 = 1,009.50 : x
2. Step 2: Convert to fraction form
   1,837.50/2,535.81 = 1,009.50/x
3. Step 3: Cross multiply
   1,837.50x = 2,535.81 × 1,009.50
4. Step 4: Simplify right side
   1,837.50x = 2,559,900.20
5. Step 5: Solve for x
   x = 2,559,900.20/1,837.50
6. Step 6: Final answer
   x = 1,393.14