Finding the Fourth Proportional to 1,152.64, 1,716.56 and 1,102.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.64 : 1,716.56 = 1,102.72 : x
2. Step 2: Convert to fraction form
   1,152.64/1,716.56 = 1,102.72/x
3. Step 3: Cross multiply
   1,152.64x = 1,716.56 × 1,102.72
4. Step 4: Simplify right side
   1,152.64x = 1,892,885.04
5. Step 5: Solve for x
   x = 1,892,885.04/1,152.64
6. Step 6: Final answer
   x = 1,642.22