Finding the Fourth Proportional to 1,314.04, 1,813.59 and 782.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.04 : 1,813.59 = 782.95 : x
2. Step 2: Convert to fraction form
   1,314.04/1,813.59 = 782.95/x
3. Step 3: Cross multiply
   1,314.04x = 1,813.59 × 782.95
4. Step 4: Simplify right side
   1,314.04x = 1,419,945.76
5. Step 5: Solve for x
   x = 1,419,945.76/1,314.04
6. Step 6: Final answer
   x = 1,080.60