Finding the Fourth Proportional to 1,536.02, 2,119.36 and 872.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.02 : 2,119.36 = 872.72 : x
2. Step 2: Convert to fraction form
   1,536.02/2,119.36 = 872.72/x
3. Step 3: Cross multiply
   1,536.02x = 2,119.36 × 872.72
4. Step 4: Simplify right side
   1,536.02x = 1,849,607.86
5. Step 5: Solve for x
   x = 1,849,607.86/1,536.02
6. Step 6: Final answer
   x = 1,204.16