Finding the Fourth Proportional to 2,645.64, 3,969.01 and 1,002.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.64 : 3,969.01 = 1,002.15 : x
2. Step 2: Convert to fraction form
   2,645.64/3,969.01 = 1,002.15/x
3. Step 3: Cross multiply
   2,645.64x = 3,969.01 × 1,002.15
4. Step 4: Simplify right side
   2,645.64x = 3,977,543.37
5. Step 5: Solve for x
   x = 3,977,543.37/2,645.64
6. Step 6: Final answer
   x = 1,503.43