Finding the Fourth Proportional to 1,412.18, 1,948.59 and 782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.18 : 1,948.59 = 782.63 : x
2. Step 2: Convert to fraction form
   1,412.18/1,948.59 = 782.63/x
3. Step 3: Cross multiply
   1,412.18x = 1,948.59 × 782.63
4. Step 4: Simplify right side
   1,412.18x = 1,525,015.25
5. Step 5: Solve for x
   x = 1,525,015.25/1,412.18
6. Step 6: Final answer
   x = 1,079.91