Finding the Fourth Proportional to 1,355.74, 1,870.76 and 766.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.74 : 1,870.76 = 766.13 : x
2. Step 2: Convert to fraction form
   1,355.74/1,870.76 = 766.13/x
3. Step 3: Cross multiply
   1,355.74x = 1,870.76 × 766.13
4. Step 4: Simplify right side
   1,355.74x = 1,433,237.92
5. Step 5: Solve for x
   x = 1,433,237.92/1,355.74
6. Step 6: Final answer
   x = 1,057.16