Finding the Fourth Proportional to 1,410.64, 2,111.52 and 976.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.64 : 2,111.52 = 976.48 : x
2. Step 2: Convert to fraction form
   1,410.64/2,111.52 = 976.48/x
3. Step 3: Cross multiply
   1,410.64x = 2,111.52 × 976.48
4. Step 4: Simplify right side
   1,410.64x = 2,061,857.05
5. Step 5: Solve for x
   x = 2,061,857.05/1,410.64
6. Step 6: Final answer
   x = 1,461.65