Finding the Fourth Proportional to 1,133.98, 1,564.86 and 691.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.98 : 1,564.86 = 691.72 : x
2. Step 2: Convert to fraction form
   1,133.98/1,564.86 = 691.72/x
3. Step 3: Cross multiply
   1,133.98x = 1,564.86 × 691.72
4. Step 4: Simplify right side
   1,133.98x = 1,082,444.96
5. Step 5: Solve for x
   x = 1,082,444.96/1,133.98
6. Step 6: Final answer
   x = 954.55