Finding the Fourth Proportional to 1,412.10, 1,948.59 and 782.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.10 : 1,948.59 = 782.55 : x
2. Step 2: Convert to fraction form
   1,412.10/1,948.59 = 782.55/x
3. Step 3: Cross multiply
   1,412.10x = 1,948.59 × 782.55
4. Step 4: Simplify right side
   1,412.10x = 1,524,869.10
5. Step 5: Solve for x
   x = 1,524,869.10/1,412.10
6. Step 6: Final answer
   x = 1,079.86