Finding the Fourth Proportional to 1,526.27, 2,287.31 and 1,005.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.27 : 2,287.31 = 1,005.48 : x
2. Step 2: Convert to fraction form
   1,526.27/2,287.31 = 1,005.48/x
3. Step 3: Cross multiply
   1,526.27x = 2,287.31 × 1,005.48
4. Step 4: Simplify right side
   1,526.27x = 2,299,839.43
5. Step 5: Solve for x
   x = 2,299,839.43/1,526.27
6. Step 6: Final answer
   x = 1,506.84