Finding the Fourth Proportional to 1,091.50, 1,506.54 and 626.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.50 : 1,506.54 = 626.02 : x
2. Step 2: Convert to fraction form
   1,091.50/1,506.54 = 626.02/x
3. Step 3: Cross multiply
   1,091.50x = 1,506.54 × 626.02
4. Step 4: Simplify right side
   1,091.50x = 943,124.17
5. Step 5: Solve for x
   x = 943,124.17/1,091.50
6. Step 6: Final answer
   x = 864.06