Finding the Fourth Proportional to 1,344.06, 1,854.77 and 784.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.06 : 1,854.77 = 784.55 : x
2. Step 2: Convert to fraction form
   1,344.06/1,854.77 = 784.55/x
3. Step 3: Cross multiply
   1,344.06x = 1,854.77 × 784.55
4. Step 4: Simplify right side
   1,344.06x = 1,455,155.88
5. Step 5: Solve for x
   x = 1,455,155.88/1,344.06
6. Step 6: Final answer
   x = 1,082.66