Finding the Fourth Proportional to 1,525.64, 2,105.88 and 896.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.64 : 2,105.88 = 896.16 : x
2. Step 2: Convert to fraction form
   1,525.64/2,105.88 = 896.16/x
3. Step 3: Cross multiply
   1,525.64x = 2,105.88 × 896.16
4. Step 4: Simplify right side
   1,525.64x = 1,887,194.89
5. Step 5: Solve for x
   x = 1,887,194.89/1,525.64
6. Step 6: Final answer
   x = 1,236.99