Finding the Fourth Proportional to 1,268.48, 1,900.62 and 780.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268.48 : 1,900.62 = 780.53 : x
2. Step 2: Convert to fraction form
   1,268.48/1,900.62 = 780.53/x
3. Step 3: Cross multiply
   1,268.48x = 1,900.62 × 780.53
4. Step 4: Simplify right side
   1,268.48x = 1,483,481.43
5. Step 5: Solve for x
   x = 1,483,481.43/1,268.48
6. Step 6: Final answer
   x = 1,169.50