Finding the Fourth Proportional to 1,538.33, 2,307.32 and 427.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.33 : 2,307.32 = 427.83 : x
2. Step 2: Convert to fraction form
   1,538.33/2,307.32 = 427.83/x
3. Step 3: Cross multiply
   1,538.33x = 2,307.32 × 427.83
4. Step 4: Simplify right side
   1,538.33x = 987,144.34
5. Step 5: Solve for x
   x = 987,144.34/1,538.33
6. Step 6: Final answer
   x = 641.70