Finding the Fourth Proportional to 1,526.32, 2,290.56 and 1,142.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.32 : 2,290.56 = 1,142.56 : x
2. Step 2: Convert to fraction form
   1,526.32/2,290.56 = 1,142.56/x
3. Step 3: Cross multiply
   1,526.32x = 2,290.56 × 1,142.56
4. Step 4: Simplify right side
   1,526.32x = 2,617,102.23
5. Step 5: Solve for x
   x = 2,617,102.23/1,526.32
6. Step 6: Final answer
   x = 1,714.65