Finding the Fourth Proportional to 3,830.50, 5,746.72 and 1,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.50 : 5,746.72 = 1,094.50 : x
2. Step 2: Convert to fraction form
   3,830.50/5,746.72 = 1,094.50/x
3. Step 3: Cross multiply
   3,830.50x = 5,746.72 × 1,094.50
4. Step 4: Simplify right side
   3,830.50x = 6,289,785.04
5. Step 5: Solve for x
   x = 6,289,785.04/3,830.50
6. Step 6: Final answer
   x = 1,642.03