Finding the Fourth Proportional to 1,535.88, 2,300.94 and 1,120.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.88 : 2,300.94 = 1,120.32 : x
2. Step 2: Convert to fraction form
   1,535.88/2,300.94 = 1,120.32/x
3. Step 3: Cross multiply
   1,535.88x = 2,300.94 × 1,120.32
4. Step 4: Simplify right side
   1,535.88x = 2,577,789.10
5. Step 5: Solve for x
   x = 2,577,789.10/1,535.88
6. Step 6: Final answer
   x = 1,678.38