Finding the Fourth Proportional to 2,085.86, 3,129.06 and 976.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.86 : 3,129.06 = 976.34 : x
2. Step 2: Convert to fraction form
   2,085.86/3,129.06 = 976.34/x
3. Step 3: Cross multiply
   2,085.86x = 3,129.06 × 976.34
4. Step 4: Simplify right side
   2,085.86x = 3,055,026.44
5. Step 5: Solve for x
   x = 3,055,026.44/2,085.86
6. Step 6: Final answer
   x = 1,464.64