Finding the Fourth Proportional to 1,165.84, 1,746.72 and 616.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.84 : 1,746.72 = 616.72 : x
2. Step 2: Convert to fraction form
   1,165.84/1,746.72 = 616.72/x
3. Step 3: Cross multiply
   1,165.84x = 1,746.72 × 616.72
4. Step 4: Simplify right side
   1,165.84x = 1,077,237.16
5. Step 5: Solve for x
   x = 1,077,237.16/1,165.84
6. Step 6: Final answer
   x = 924.00