Finding the Fourth Proportional to 1,090.33, 1,643.71 and 1,019.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,090.33 : 1,643.71 = 1,019.86 : x
2. Step 2: Convert to fraction form
   1,090.33/1,643.71 = 1,019.86/x
3. Step 3: Cross multiply
   1,090.33x = 1,643.71 × 1,019.86
4. Step 4: Simplify right side
   1,090.33x = 1,676,349.33
5. Step 5: Solve for x
   x = 1,676,349.33/1,090.33
6. Step 6: Final answer
   x = 1,537.47