Finding the Fourth Proportional to 1,091.57, 1,506.56 and 625.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.57 : 1,506.56 = 625.82 : x
2. Step 2: Convert to fraction form
   1,091.57/1,506.56 = 625.82/x
3. Step 3: Cross multiply
   1,091.57x = 1,506.56 × 625.82
4. Step 4: Simplify right side
   1,091.57x = 942,827.85
5. Step 5: Solve for x
   x = 942,827.85/1,091.57
6. Step 6: Final answer
   x = 863.74