Finding the Fourth Proportional to 1,387.52, 1,914.78 and 766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.52 : 1,914.78 = 766.52 : x
2. Step 2: Convert to fraction form
   1,387.52/1,914.78 = 766.52/x
3. Step 3: Cross multiply
   1,387.52x = 1,914.78 × 766.52
4. Step 4: Simplify right side
   1,387.52x = 1,467,717.17
5. Step 5: Solve for x
   x = 1,467,717.17/1,387.52
6. Step 6: Final answer
   x = 1,057.80