Finding the Fourth Proportional to 1,149.76, 1,586.69 and 707.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.76 : 1,586.69 = 707.86 : x
2. Step 2: Convert to fraction form
   1,149.76/1,586.69 = 707.86/x
3. Step 3: Cross multiply
   1,149.76x = 1,586.69 × 707.86
4. Step 4: Simplify right side
   1,149.76x = 1,123,149.53
5. Step 5: Solve for x
   x = 1,123,149.53/1,149.76
6. Step 6: Final answer
   x = 976.86