Finding the Fourth Proportional to 2,975.78, 4,463.86 and 1,196.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,975.78 : 4,463.86 = 1,196.84 : x
2. Step 2: Convert to fraction form
   2,975.78/4,463.86 = 1,196.84/x
3. Step 3: Cross multiply
   2,975.78x = 4,463.86 × 1,196.84
4. Step 4: Simplify right side
   2,975.78x = 5,342,526.20
5. Step 5: Solve for x
   x = 5,342,526.20/2,975.78
6. Step 6: Final answer
   x = 1,795.34