Finding the Fourth Proportional to 1,533.89, 2,300.16 and 438.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.89 : 2,300.16 = 438.01 : x
2. Step 2: Convert to fraction form
   1,533.89/2,300.16 = 438.01/x
3. Step 3: Cross multiply
   1,533.89x = 2,300.16 × 438.01
4. Step 4: Simplify right side
   1,533.89x = 1,007,487.33
5. Step 5: Solve for x
   x = 1,007,487.33/1,533.89
6. Step 6: Final answer
   x = 656.82