Finding the Fourth Proportional to 1,142.96, 1,706.17 and 977.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.96 : 1,706.17 = 977.72 : x
2. Step 2: Convert to fraction form
   1,142.96/1,706.17 = 977.72/x
3. Step 3: Cross multiply
   1,142.96x = 1,706.17 × 977.72
4. Step 4: Simplify right side
   1,142.96x = 1,668,156.53
5. Step 5: Solve for x
   x = 1,668,156.53/1,142.96
6. Step 6: Final answer
   x = 1,459.51