Finding the Fourth Proportional to 1,666, 2,495.76 and 1,540

Step by Step Solution

1. Step 1: Write the proportion equation
   1,666 : 2,495.76 = 1,540 : x
2. Step 2: Convert to fraction form
   1,666/2,495.76 = 1,540/x
3. Step 3: Cross multiply
   1,666x = 2,495.76 × 1,540
4. Step 4: Simplify right side
   1,666x = 3,843,470.40
5. Step 5: Solve for x
   x = 3,843,470.40/1,666
6. Step 6: Final answer
   x = 2,307.01