Finding the Fourth Proportional to 1,355.61, 1,870.83 and 766.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.61 : 1,870.83 = 766.16 : x
2. Step 2: Convert to fraction form
   1,355.61/1,870.83 = 766.16/x
3. Step 3: Cross multiply
   1,355.61x = 1,870.83 × 766.16
4. Step 4: Simplify right side
   1,355.61x = 1,433,345.76
5. Step 5: Solve for x
   x = 1,433,345.76/1,355.61
6. Step 6: Final answer
   x = 1,057.34