Finding the Fourth Proportional to 1,355.61, 1,870.69 and 766.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.61 : 1,870.69 = 766.14 : x
2. Step 2: Convert to fraction form
   1,355.61/1,870.69 = 766.14/x
3. Step 3: Cross multiply
   1,355.61x = 1,870.69 × 766.14
4. Step 4: Simplify right side
   1,355.61x = 1,433,210.44
5. Step 5: Solve for x
   x = 1,433,210.44/1,355.61
6. Step 6: Final answer
   x = 1,057.24