Finding the Fourth Proportional to 1,499.28, 2,069 and 1,002.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.28 : 2,069 = 1,002.64 : x
2. Step 2: Convert to fraction form
   1,499.28/2,069 = 1,002.64/x
3. Step 3: Cross multiply
   1,499.28x = 2,069 × 1,002.64
4. Step 4: Simplify right side
   1,499.28x = 2,074,462.16
5. Step 5: Solve for x
   x = 2,074,462.16/1,499.28
6. Step 6: Final answer
   x = 1,383.64