Finding the Fourth Proportional to 1,388.64, 1,916.31 and 759.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,388.64 : 1,916.31 = 759.16 : x
2. Step 2: Convert to fraction form
   1,388.64/1,916.31 = 759.16/x
3. Step 3: Cross multiply
   1,388.64x = 1,916.31 × 759.16
4. Step 4: Simplify right side
   1,388.64x = 1,454,785.90
5. Step 5: Solve for x
   x = 1,454,785.90/1,388.64
6. Step 6: Final answer
   x = 1,047.63