Finding the Fourth Proportional to 1,445.34, 1,994.58 and 782.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,445.34 : 1,994.58 = 782.20 : x
2. Step 2: Convert to fraction form
   1,445.34/1,994.58 = 782.20/x
3. Step 3: Cross multiply
   1,445.34x = 1,994.58 × 782.20
4. Step 4: Simplify right side
   1,445.34x = 1,560,151.75
5. Step 5: Solve for x
   x = 1,560,151.75/1,445.34
6. Step 6: Final answer
   x = 1,079.43