Finding the Fourth Proportional to 2,158.86, 2,978.19 and 1,538.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.86 : 2,978.19 = 1,538.22 : x
2. Step 2: Convert to fraction form
   2,158.86/2,978.19 = 1,538.22/x
3. Step 3: Cross multiply
   2,158.86x = 2,978.19 × 1,538.22
4. Step 4: Simplify right side
   2,158.86x = 4,581,111.42
5. Step 5: Solve for x
   x = 4,581,111.42/2,158.86
6. Step 6: Final answer
   x = 2,122.00