Finding the Fourth Proportional to 1,538.16, 2,108.91 and 1,510.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.16 : 2,108.91 = 1,510.41 : x
2. Step 2: Convert to fraction form
   1,538.16/2,108.91 = 1,510.41/x
3. Step 3: Cross multiply
   1,538.16x = 2,108.91 × 1,510.41
4. Step 4: Simplify right side
   1,538.16x = 3,185,318.75
5. Step 5: Solve for x
   x = 3,185,318.75/1,538.16
6. Step 6: Final answer
   x = 2,070.86