Finding the Fourth Proportional to 1,343.50, 1,854.04 and 784.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,343.50 : 1,854.04 = 784.35 : x
2. Step 2: Convert to fraction form
   1,343.50/1,854.04 = 784.35/x
3. Step 3: Cross multiply
   1,343.50x = 1,854.04 × 784.35
4. Step 4: Simplify right side
   1,343.50x = 1,454,216.27
5. Step 5: Solve for x
   x = 1,454,216.27/1,343.50
6. Step 6: Final answer
   x = 1,082.41