Finding the Fourth Proportional to 1,387.52, 1,914.80 and 766.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,387.52 : 1,914.80 = 766.48 : x
2. Step 2: Convert to fraction form
   1,387.52/1,914.80 = 766.48/x
3. Step 3: Cross multiply
   1,387.52x = 1,914.80 × 766.48
4. Step 4: Simplify right side
   1,387.52x = 1,467,655.90
5. Step 5: Solve for x
   x = 1,467,655.90/1,387.52
6. Step 6: Final answer
   x = 1,057.75