Finding the Fourth Proportional to 1,182.24, 1,770.72 and 906.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.24 : 1,770.72 = 906.30 : x
2. Step 2: Convert to fraction form
   1,182.24/1,770.72 = 906.30/x
3. Step 3: Cross multiply
   1,182.24x = 1,770.72 × 906.30
4. Step 4: Simplify right side
   1,182.24x = 1,604,803.54
5. Step 5: Solve for x
   x = 1,604,803.54/1,182.24
6. Step 6: Final answer
   x = 1,357.43