Finding the Fourth Proportional to 1,091.56, 1,506.42 and 625.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.56 : 1,506.42 = 625.88 : x
2. Step 2: Convert to fraction form
   1,091.56/1,506.42 = 625.88/x
3. Step 3: Cross multiply
   1,091.56x = 1,506.42 × 625.88
4. Step 4: Simplify right side
   1,091.56x = 942,838.15
5. Step 5: Solve for x
   x = 942,838.15/1,091.56
6. Step 6: Final answer
   x = 863.75