Finding the Fourth Proportional to 1,381.84, 1,906.82 and 784.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.84 : 1,906.82 = 784.34 : x
2. Step 2: Convert to fraction form
   1,381.84/1,906.82 = 784.34/x
3. Step 3: Cross multiply
   1,381.84x = 1,906.82 × 784.34
4. Step 4: Simplify right side
   1,381.84x = 1,495,585.66
5. Step 5: Solve for x
   x = 1,495,585.66/1,381.84
6. Step 6: Final answer
   x = 1,082.32