Finding the Fourth Proportional to 1,520.10, 2,097.84 and 1,146.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,520.10 : 2,097.84 = 1,146.42 : x
2. Step 2: Convert to fraction form
   1,520.10/2,097.84 = 1,146.42/x
3. Step 3: Cross multiply
   1,520.10x = 2,097.84 × 1,146.42
4. Step 4: Simplify right side
   1,520.10x = 2,405,005.73
5. Step 5: Solve for x
   x = 2,405,005.73/1,520.10
6. Step 6: Final answer
   x = 1,582.14