Finding the Fourth Proportional to 1,412.42, 1,949.00 and 782.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.42 : 1,949.00 = 782.85 : x
2. Step 2: Convert to fraction form
   1,412.42/1,949.00 = 782.85/x
3. Step 3: Cross multiply
   1,412.42x = 1,949.00 × 782.85
4. Step 4: Simplify right side
   1,412.42x = 1,525,770.74
5. Step 5: Solve for x
   x = 1,525,770.74/1,412.42
6. Step 6: Final answer
   x = 1,080.26