Finding the Fourth Proportional to 1,151.34, 1,588.20 and 708.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.34 : 1,588.20 = 708.94 : x
2. Step 2: Convert to fraction form
   1,151.34/1,588.20 = 708.94/x
3. Step 3: Cross multiply
   1,151.34x = 1,588.20 × 708.94
4. Step 4: Simplify right side
   1,151.34x = 1,125,938.51
5. Step 5: Solve for x
   x = 1,125,938.51/1,151.34
6. Step 6: Final answer
   x = 977.94