Finding the Fourth Proportional to 1,689.21, 2,527.04 and 1,460.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.21 : 2,527.04 = 1,460.57 : x
2. Step 2: Convert to fraction form
   1,689.21/2,527.04 = 1,460.57/x
3. Step 3: Cross multiply
   1,689.21x = 2,527.04 × 1,460.57
4. Step 4: Simplify right side
   1,689.21x = 3,690,909.83
5. Step 5: Solve for x
   x = 3,690,909.83/1,689.21
6. Step 6: Final answer
   x = 2,184.99