Finding the Fourth Proportional to 1,507.94, 2,261.67 and 412.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.94 : 2,261.67 = 412.38 : x
2. Step 2: Convert to fraction form
   1,507.94/2,261.67 = 412.38/x
3. Step 3: Cross multiply
   1,507.94x = 2,261.67 × 412.38
4. Step 4: Simplify right side
   1,507.94x = 932,667.47
5. Step 5: Solve for x
   x = 932,667.47/1,507.94
6. Step 6: Final answer
   x = 618.50