Finding the Fourth Proportional to 1,066.14, 1,471.95 and 693.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.14 : 1,471.95 = 693.72 : x
2. Step 2: Convert to fraction form
   1,066.14/1,471.95 = 693.72/x
3. Step 3: Cross multiply
   1,066.14x = 1,471.95 × 693.72
4. Step 4: Simplify right side
   1,066.14x = 1,021,121.15
5. Step 5: Solve for x
   x = 1,021,121.15/1,066.14
6. Step 6: Final answer
   x = 957.77