Finding the Fourth Proportional to 2,976.96, 4,464.54 and 785.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,976.96 : 4,464.54 = 785.40 : x
2. Step 2: Convert to fraction form
   2,976.96/4,464.54 = 785.40/x
3. Step 3: Cross multiply
   2,976.96x = 4,464.54 × 785.40
4. Step 4: Simplify right side
   2,976.96x = 3,506,449.72
5. Step 5: Solve for x
   x = 3,506,449.72/2,976.96
6. Step 6: Final answer
   x = 1,177.86