Finding the Fourth Proportional to 1,506.82, 2,077.42 and 1,152.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.82 : 2,077.42 = 1,152.96 : x
2. Step 2: Convert to fraction form
   1,506.82/2,077.42 = 1,152.96/x
3. Step 3: Cross multiply
   1,506.82x = 2,077.42 × 1,152.96
4. Step 4: Simplify right side
   1,506.82x = 2,395,182.16
5. Step 5: Solve for x
   x = 2,395,182.16/1,506.82
6. Step 6: Final answer
   x = 1,589.56