Finding the Fourth Proportional to 1,538.07, 2,315.42 and 1,404.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.07 : 2,315.42 = 1,404.15 : x
2. Step 2: Convert to fraction form
   1,538.07/2,315.42 = 1,404.15/x
3. Step 3: Cross multiply
   1,538.07x = 2,315.42 × 1,404.15
4. Step 4: Simplify right side
   1,538.07x = 3,251,189.97
5. Step 5: Solve for x
   x = 3,251,189.97/1,538.07
6. Step 6: Final answer
   x = 2,113.81