Finding the Fourth Proportional to 1,460.10, 2,180.24 and 1,200.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.10 : 2,180.24 = 1,200.63 : x
2. Step 2: Convert to fraction form
   1,460.10/2,180.24 = 1,200.63/x
3. Step 3: Cross multiply
   1,460.10x = 2,180.24 × 1,200.63
4. Step 4: Simplify right side
   1,460.10x = 2,617,661.55
5. Step 5: Solve for x
   x = 2,617,661.55/1,460.10
6. Step 6: Final answer
   x = 1,792.80