Finding the Fourth Proportional to 1,533.42, 2,300.10 and 667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.42 : 2,300.10 = 667.50 : x
2. Step 2: Convert to fraction form
   1,533.42/2,300.10 = 667.50/x
3. Step 3: Cross multiply
   1,533.42x = 2,300.10 × 667.50
4. Step 4: Simplify right side
   1,533.42x = 1,535,316.75
5. Step 5: Solve for x
   x = 1,535,316.75/1,533.42
6. Step 6: Final answer
   x = 1,001.24