Finding the Fourth Proportional to 1,460.86, 2,187.03 and 765.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.86 : 2,187.03 = 765.88 : x
2. Step 2: Convert to fraction form
   1,460.86/2,187.03 = 765.88/x
3. Step 3: Cross multiply
   1,460.86x = 2,187.03 × 765.88
4. Step 4: Simplify right side
   1,460.86x = 1,674,999.94
5. Step 5: Solve for x
   x = 1,674,999.94/1,460.86
6. Step 6: Final answer
   x = 1,146.59