Finding the Fourth Proportional to 2,098.23, 2,893.98 and 1,538.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.23 : 2,893.98 = 1,538.52 : x
2. Step 2: Convert to fraction form
   2,098.23/2,893.98 = 1,538.52/x
3. Step 3: Cross multiply
   2,098.23x = 2,893.98 × 1,538.52
4. Step 4: Simplify right side
   2,098.23x = 4,452,446.11
5. Step 5: Solve for x
   x = 4,452,446.11/2,098.23
6. Step 6: Final answer
   x = 2,122.00