Finding the Fourth Proportional to 1,461.77, 2,178.46 and 1,415.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.77 : 2,178.46 = 1,415.07 : x
2. Step 2: Convert to fraction form
   1,461.77/2,178.46 = 1,415.07/x
3. Step 3: Cross multiply
   1,461.77x = 2,178.46 × 1,415.07
4. Step 4: Simplify right side
   1,461.77x = 3,082,662.50
5. Step 5: Solve for x
   x = 3,082,662.50/1,461.77
6. Step 6: Final answer
   x = 2,108.86