Finding the Fourth Proportional to 1,314.18, 1,972.71 and 767.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.18 : 1,972.71 = 767.43 : x
2. Step 2: Convert to fraction form
   1,314.18/1,972.71 = 767.43/x
3. Step 3: Cross multiply
   1,314.18x = 1,972.71 × 767.43
4. Step 4: Simplify right side
   1,314.18x = 1,513,916.84
5. Step 5: Solve for x
   x = 1,513,916.84/1,314.18
6. Step 6: Final answer
   x = 1,151.99