Finding the Fourth Proportional to 1,002.56, 1,499.52 and 892.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.56 : 1,499.52 = 892.16 : x
2. Step 2: Convert to fraction form
   1,002.56/1,499.52 = 892.16/x
3. Step 3: Cross multiply
   1,002.56x = 1,499.52 × 892.16
4. Step 4: Simplify right side
   1,002.56x = 1,337,811.76
5. Step 5: Solve for x
   x = 1,337,811.76/1,002.56
6. Step 6: Final answer
   x = 1,334.40