Finding the Fourth Proportional to 1,026.52, 1,540.47 and 846.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.52 : 1,540.47 = 846.10 : x
2. Step 2: Convert to fraction form
   1,026.52/1,540.47 = 846.10/x
3. Step 3: Cross multiply
   1,026.52x = 1,540.47 × 846.10
4. Step 4: Simplify right side
   1,026.52x = 1,303,383.34
5. Step 5: Solve for x
   x = 1,303,383.34/1,026.52
6. Step 6: Final answer
   x = 1,269.71