Finding the Fourth Proportional to 1,091.81, 1,506.74 and 699.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.81 : 1,506.74 = 699.57 : x
2. Step 2: Convert to fraction form
   1,091.81/1,506.74 = 699.57/x
3. Step 3: Cross multiply
   1,091.81x = 1,506.74 × 699.57
4. Step 4: Simplify right side
   1,091.81x = 1,054,066.60
5. Step 5: Solve for x
   x = 1,054,066.60/1,091.81
6. Step 6: Final answer
   x = 965.43