Finding the Fourth Proportional to 1,380.14, 1,904.10 and 782.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.14 : 1,904.10 = 782.54 : x
2. Step 2: Convert to fraction form
   1,380.14/1,904.10 = 782.54/x
3. Step 3: Cross multiply
   1,380.14x = 1,904.10 × 782.54
4. Step 4: Simplify right side
   1,380.14x = 1,490,032.03
5. Step 5: Solve for x
   x = 1,490,032.03/1,380.14
6. Step 6: Final answer
   x = 1,079.63