Finding the Fourth Proportional to 1,538.00, 2,307.38 and 442.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.00 : 2,307.38 = 442.43 : x
2. Step 2: Convert to fraction form
   1,538.00/2,307.38 = 442.43/x
3. Step 3: Cross multiply
   1,538.00x = 2,307.38 × 442.43
4. Step 4: Simplify right side
   1,538.00x = 1,020,857.69
5. Step 5: Solve for x
   x = 1,020,857.69/1,538.00
6. Step 6: Final answer
   x = 663.76