Finding the Fourth Proportional to 1,412.02, 1,948.59 and 782.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.02 : 1,948.59 = 782.53 : x
2. Step 2: Convert to fraction form
   1,412.02/1,948.59 = 782.53/x
3. Step 3: Cross multiply
   1,412.02x = 1,948.59 × 782.53
4. Step 4: Simplify right side
   1,412.02x = 1,524,825.26
5. Step 5: Solve for x
   x = 1,524,825.26/1,412.02
6. Step 6: Final answer
   x = 1,079.89