Finding the Fourth Proportional to 1,892.10, 2,608.74 and 1,577.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.10 : 2,608.74 = 1,577.82 : x
2. Step 2: Convert to fraction form
   1,892.10/2,608.74 = 1,577.82/x
3. Step 3: Cross multiply
   1,892.10x = 2,608.74 × 1,577.82
4. Step 4: Simplify right side
   1,892.10x = 4,116,122.15
5. Step 5: Solve for x
   x = 4,116,122.15/1,892.10
6. Step 6: Final answer
   x = 2,175.43