Finding the Fourth Proportional to 1,533.76, 2,300.72 and 438.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.76 : 2,300.72 = 438.02 : x
2. Step 2: Convert to fraction form
   1,533.76/2,300.72 = 438.02/x
3. Step 3: Cross multiply
   1,533.76x = 2,300.72 × 438.02
4. Step 4: Simplify right side
   1,533.76x = 1,007,761.37
5. Step 5: Solve for x
   x = 1,007,761.37/1,533.76
6. Step 6: Final answer
   x = 657.05