Finding the Fourth Proportional to 3,641.60, 5,461.98 and 1,009.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,641.60 : 5,461.98 = 1,009.30 : x
2. Step 2: Convert to fraction form
   3,641.60/5,461.98 = 1,009.30/x
3. Step 3: Cross multiply
   3,641.60x = 5,461.98 × 1,009.30
4. Step 4: Simplify right side
   3,641.60x = 5,512,776.41
5. Step 5: Solve for x
   x = 5,512,776.41/3,641.60
6. Step 6: Final answer
   x = 1,513.83