Finding the Fourth Proportional to 2,097.60, 3,146.42 and 1,002.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.60 : 3,146.42 = 1,002.08 : x
2. Step 2: Convert to fraction form
   2,097.60/3,146.42 = 1,002.08/x
3. Step 3: Cross multiply
   2,097.60x = 3,146.42 × 1,002.08
4. Step 4: Simplify right side
   2,097.60x = 3,152,964.55
5. Step 5: Solve for x
   x = 3,152,964.55/2,097.60
6. Step 6: Final answer
   x = 1,503.13