Finding the Fourth Proportional to 1,412.43, 1,949.17 and 782.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.43 : 1,949.17 = 782.96 : x
2. Step 2: Convert to fraction form
   1,412.43/1,949.17 = 782.96/x
3. Step 3: Cross multiply
   1,412.43x = 1,949.17 × 782.96
4. Step 4: Simplify right side
   1,412.43x = 1,526,125.06
5. Step 5: Solve for x
   x = 1,526,125.06/1,412.43
6. Step 6: Final answer
   x = 1,080.50