Finding the Fourth Proportional to 1,381.52, 1,906.54 and 784.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.52 : 1,906.54 = 784.11 : x
2. Step 2: Convert to fraction form
   1,381.52/1,906.54 = 784.11/x
3. Step 3: Cross multiply
   1,381.52x = 1,906.54 × 784.11
4. Step 4: Simplify right side
   1,381.52x = 1,494,942.27
5. Step 5: Solve for x
   x = 1,494,942.27/1,381.52
6. Step 6: Final answer
   x = 1,082.10