Finding the Fourth Proportional to 1,412.34, 1,948.94 and 782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.34 : 1,948.94 = 782.82 : x
2. Step 2: Convert to fraction form
   1,412.34/1,948.94 = 782.82/x
3. Step 3: Cross multiply
   1,412.34x = 1,948.94 × 782.82
4. Step 4: Simplify right side
   1,412.34x = 1,525,669.21
5. Step 5: Solve for x
   x = 1,525,669.21/1,412.34
6. Step 6: Final answer
   x = 1,080.24