Finding the Fourth Proportional to 1,134.13, 1,564.72 and 691.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,134.13 : 1,564.72 = 691.87 : x
2. Step 2: Convert to fraction form
   1,134.13/1,564.72 = 691.87/x
3. Step 3: Cross multiply
   1,134.13x = 1,564.72 × 691.87
4. Step 4: Simplify right side
   1,134.13x = 1,082,582.83
5. Step 5: Solve for x
   x = 1,082,582.83/1,134.13
6. Step 6: Final answer
   x = 954.55