Finding the Fourth Proportional to 2,969.42, 4,453.61 and 778.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,969.42 : 4,453.61 = 778.01 : x
2. Step 2: Convert to fraction form
   2,969.42/4,453.61 = 778.01/x
3. Step 3: Cross multiply
   2,969.42x = 4,453.61 × 778.01
4. Step 4: Simplify right side
   2,969.42x = 3,464,926.96
5. Step 5: Solve for x
   x = 3,464,926.96/2,969.42
6. Step 6: Final answer
   x = 1,166.87