Finding the Fourth Proportional to 1,165.32, 1,746.54 and 678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.32 : 1,746.54 = 678.72 : x
2. Step 2: Convert to fraction form
   1,165.32/1,746.54 = 678.72/x
3. Step 3: Cross multiply
   1,165.32x = 1,746.54 × 678.72
4. Step 4: Simplify right side
   1,165.32x = 1,185,411.63
5. Step 5: Solve for x
   x = 1,185,411.63/1,165.32
6. Step 6: Final answer
   x = 1,017.24