Finding the Fourth Proportional to 1,412.19, 1,948.82 and 782.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.19 : 1,948.82 = 782.72 : x
2. Step 2: Convert to fraction form
   1,412.19/1,948.82 = 782.72/x
3. Step 3: Cross multiply
   1,412.19x = 1,948.82 × 782.72
4. Step 4: Simplify right side
   1,412.19x = 1,525,366.73
5. Step 5: Solve for x
   x = 1,525,366.73/1,412.19
6. Step 6: Final answer
   x = 1,080.14