Finding the Fourth Proportional to 2,975.38, 4,462.84 and 784.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,975.38 : 4,462.84 = 784.09 : x
2. Step 2: Convert to fraction form
   2,975.38/4,462.84 = 784.09/x
3. Step 3: Cross multiply
   2,975.38x = 4,462.84 × 784.09
4. Step 4: Simplify right side
   2,975.38x = 3,499,264.30
5. Step 5: Solve for x
   x = 3,499,264.30/2,975.38
6. Step 6: Final answer
   x = 1,176.08