Finding the Fourth Proportional to 1,412.69, 1,949.50 and 783.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.69 : 1,949.50 = 783.22 : x
2. Step 2: Convert to fraction form
   1,412.69/1,949.50 = 783.22/x
3. Step 3: Cross multiply
   1,412.69x = 1,949.50 × 783.22
4. Step 4: Simplify right side
   1,412.69x = 1,526,887.39
5. Step 5: Solve for x
   x = 1,526,887.39/1,412.69
6. Step 6: Final answer
   x = 1,080.84