Finding the Fourth Proportional to 1,322.27, 1,820.57 and 1,006.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.27 : 1,820.57 = 1,006.53 : x
2. Step 2: Convert to fraction form
   1,322.27/1,820.57 = 1,006.53/x
3. Step 3: Cross multiply
   1,322.27x = 1,820.57 × 1,006.53
4. Step 4: Simplify right side
   1,322.27x = 1,832,458.32
5. Step 5: Solve for x
   x = 1,832,458.32/1,322.27
6. Step 6: Final answer
   x = 1,385.84