Finding the Fourth Proportional to 1,133.72, 1,564.61 and 691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133.72 : 1,564.61 = 691.50 : x
2. Step 2: Convert to fraction form
   1,133.72/1,564.61 = 691.50/x
3. Step 3: Cross multiply
   1,133.72x = 1,564.61 × 691.50
4. Step 4: Simplify right side
   1,133.72x = 1,081,924.36
5. Step 5: Solve for x
   x = 1,081,924.36/1,133.72
6. Step 6: Final answer
   x = 954.32