Finding the Fourth Proportional to 1,150.14, 1,586.64 and 707.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.14 : 1,586.64 = 707.88 : x
2. Step 2: Convert to fraction form
   1,150.14/1,586.64 = 707.88/x
3. Step 3: Cross multiply
   1,150.14x = 1,586.64 × 707.88
4. Step 4: Simplify right side
   1,150.14x = 1,123,150.72
5. Step 5: Solve for x
   x = 1,123,150.72/1,150.14
6. Step 6: Final answer
   x = 976.53