Finding the Fourth Proportional to 1,884.78, 2,826.17 and 1,106.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,884.78 : 2,826.17 = 1,106.30 : x
2. Step 2: Convert to fraction form
   1,884.78/2,826.17 = 1,106.30/x
3. Step 3: Cross multiply
   1,884.78x = 2,826.17 × 1,106.30
4. Step 4: Simplify right side
   1,884.78x = 3,126,591.87
5. Step 5: Solve for x
   x = 3,126,591.87/1,884.78
6. Step 6: Final answer
   x = 1,658.86