Finding the Fourth Proportional to 1,182.24, 1,772.64 and 1,026.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.24 : 1,772.64 = 1,026.72 : x
2. Step 2: Convert to fraction form
   1,182.24/1,772.64 = 1,026.72/x
3. Step 3: Cross multiply
   1,182.24x = 1,772.64 × 1,026.72
4. Step 4: Simplify right side
   1,182.24x = 1,820,004.94
5. Step 5: Solve for x
   x = 1,820,004.94/1,182.24
6. Step 6: Final answer
   x = 1,539.45