Finding the Fourth Proportional to 1,523.42, 2,285.16 and 1,006.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.42 : 2,285.16 = 1,006.72 : x
2. Step 2: Convert to fraction form
   1,523.42/2,285.16 = 1,006.72/x
3. Step 3: Cross multiply
   1,523.42x = 2,285.16 × 1,006.72
4. Step 4: Simplify right side
   1,523.42x = 2,300,516.28
5. Step 5: Solve for x
   x = 2,300,516.28/1,523.42
6. Step 6: Final answer
   x = 1,510.10