Finding the Fourth Proportional to 2,196.12, 3,294.80 and 1,538

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.12 : 3,294.80 = 1,538 : x
2. Step 2: Convert to fraction form
   2,196.12/3,294.80 = 1,538/x
3. Step 3: Cross multiply
   2,196.12x = 3,294.80 × 1,538
4. Step 4: Simplify right side
   2,196.12x = 5,067,402.40
5. Step 5: Solve for x
   x = 5,067,402.40/2,196.12
6. Step 6: Final answer
   x = 2,307.43