Finding the Fourth Proportional to 1,849.02, 2,538.29 and 1,586.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.02 : 2,538.29 = 1,586.58 : x
2. Step 2: Convert to fraction form
   1,849.02/2,538.29 = 1,586.58/x
3. Step 3: Cross multiply
   1,849.02x = 2,538.29 × 1,586.58
4. Step 4: Simplify right side
   1,849.02x = 4,027,200.15
5. Step 5: Solve for x
   x = 4,027,200.15/1,849.02
6. Step 6: Final answer
   x = 2,178.02