Finding the Fourth Proportional to 1,460.52, 2,189.72 and 582.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.52 : 2,189.72 = 582.76 : x
2. Step 2: Convert to fraction form
   1,460.52/2,189.72 = 582.76/x
3. Step 3: Cross multiply
   1,460.52x = 2,189.72 × 582.76
4. Step 4: Simplify right side
   1,460.52x = 1,276,068.73
5. Step 5: Solve for x
   x = 1,276,068.73/1,460.52
6. Step 6: Final answer
   x = 873.71