Finding the Fourth Proportional to 1,402.50, 1,935.96 and 1,009.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.50 : 1,935.96 = 1,009.75 : x
2. Step 2: Convert to fraction form
   1,402.50/1,935.96 = 1,009.75/x
3. Step 3: Cross multiply
   1,402.50x = 1,935.96 × 1,009.75
4. Step 4: Simplify right side
   1,402.50x = 1,954,835.61
5. Step 5: Solve for x
   x = 1,954,835.61/1,402.50
6. Step 6: Final answer
   x = 1,393.82