Finding the Fourth Proportional to 1,533.82, 2,300.69 and 438.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.82 : 2,300.69 = 438.26 : x
2. Step 2: Convert to fraction form
   1,533.82/2,300.69 = 438.26/x
3. Step 3: Cross multiply
   1,533.82x = 2,300.69 × 438.26
4. Step 4: Simplify right side
   1,533.82x = 1,008,300.40
5. Step 5: Solve for x
   x = 1,008,300.40/1,533.82
6. Step 6: Final answer
   x = 657.38