Finding the Fourth Proportional to 1,566.42, 2,349.30 and 1,009.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.42 : 2,349.30 = 1,009.46 : x
2. Step 2: Convert to fraction form
   1,566.42/2,349.30 = 1,009.46/x
3. Step 3: Cross multiply
   1,566.42x = 2,349.30 × 1,009.46
4. Step 4: Simplify right side
   1,566.42x = 2,371,524.38
5. Step 5: Solve for x
   x = 2,371,524.38/1,566.42
6. Step 6: Final answer
   x = 1,513.98