Finding the Fourth Proportional to 1,770.14, 2,663.67 and 1,460.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770.14 : 2,663.67 = 1,460.05 : x
2. Step 2: Convert to fraction form
   1,770.14/2,663.67 = 1,460.05/x
3. Step 3: Cross multiply
   1,770.14x = 2,663.67 × 1,460.05
4. Step 4: Simplify right side
   1,770.14x = 3,889,091.38
5. Step 5: Solve for x
   x = 3,889,091.38/1,770.14
6. Step 6: Final answer
   x = 2,197.05