Finding the Fourth Proportional to 1,409.46, 2,111.76 and 759.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.46 : 2,111.76 = 759.84 : x
2. Step 2: Convert to fraction form
   1,409.46/2,111.76 = 759.84/x
3. Step 3: Cross multiply
   1,409.46x = 2,111.76 × 759.84
4. Step 4: Simplify right side
   1,409.46x = 1,604,599.72
5. Step 5: Solve for x
   x = 1,604,599.72/1,409.46
6. Step 6: Final answer
   x = 1,138.45