Finding the Fourth Proportional to 1,461.86, 2,182.39 and 1,410.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.86 : 2,182.39 = 1,410.61 : x
2. Step 2: Convert to fraction form
   1,461.86/2,182.39 = 1,410.61/x
3. Step 3: Cross multiply
   1,461.86x = 2,182.39 × 1,410.61
4. Step 4: Simplify right side
   1,461.86x = 3,078,492.18
5. Step 5: Solve for x
   x = 3,078,492.18/1,461.86
6. Step 6: Final answer
   x = 2,105.87