Finding the Fourth Proportional to 3,645.31, 5,470.38 and 2,003

Step by Step Solution

1. Step 1: Write the proportion equation
   3,645.31 : 5,470.38 = 2,003 : x
2. Step 2: Convert to fraction form
   3,645.31/5,470.38 = 2,003/x
3. Step 3: Cross multiply
   3,645.31x = 5,470.38 × 2,003
4. Step 4: Simplify right side
   3,645.31x = 10,957,163.63
5. Step 5: Solve for x
   x = 10,957,163.63/3,645.31
6. Step 6: Final answer
   x = 3,005.83