Finding the Fourth Proportional to 1,089.36, 1,642.14 and 1,026.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089.36 : 1,642.14 = 1,026.72 : x
2. Step 2: Convert to fraction form
   1,089.36/1,642.14 = 1,026.72/x
3. Step 3: Cross multiply
   1,089.36x = 1,642.14 × 1,026.72
4. Step 4: Simplify right side
   1,089.36x = 1,686,017.98
5. Step 5: Solve for x
   x = 1,686,017.98/1,089.36
6. Step 6: Final answer
   x = 1,547.71