Finding the Fourth Proportional to 2,522.61, 3,780.64 and 1,411.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.61 : 3,780.64 = 1,411.98 : x
2. Step 2: Convert to fraction form
   2,522.61/3,780.64 = 1,411.98/x
3. Step 3: Cross multiply
   2,522.61x = 3,780.64 × 1,411.98
4. Step 4: Simplify right side
   2,522.61x = 5,338,181.01
5. Step 5: Solve for x
   x = 5,338,181.01/2,522.61
6. Step 6: Final answer
   x = 2,116.13