Finding the Fourth Proportional to 1,352.34, 1,866.35 and 762.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.34 : 1,866.35 = 762.99 : x
2. Step 2: Convert to fraction form
   1,352.34/1,866.35 = 762.99/x
3. Step 3: Cross multiply
   1,352.34x = 1,866.35 × 762.99
4. Step 4: Simplify right side
   1,352.34x = 1,424,006.39
5. Step 5: Solve for x
   x = 1,424,006.39/1,352.34
6. Step 6: Final answer
   x = 1,052.99