Finding the Fourth Proportional to 1,365.50, 1,884.42 and 744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.50 : 1,884.42 = 744.50 : x
2. Step 2: Convert to fraction form
   1,365.50/1,884.42 = 744.50/x
3. Step 3: Cross multiply
   1,365.50x = 1,884.42 × 744.50
4. Step 4: Simplify right side
   1,365.50x = 1,402,950.69
5. Step 5: Solve for x
   x = 1,402,950.69/1,365.50
6. Step 6: Final answer
   x = 1,027.43