Finding the Fourth Proportional to 1,384.87, 1,911.15 and 755.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.87 : 1,911.15 = 755.40 : x
2. Step 2: Convert to fraction form
   1,384.87/1,911.15 = 755.40/x
3. Step 3: Cross multiply
   1,384.87x = 1,911.15 × 755.40
4. Step 4: Simplify right side
   1,384.87x = 1,443,682.71
5. Step 5: Solve for x
   x = 1,443,682.71/1,384.87
6. Step 6: Final answer
   x = 1,042.47