Finding the Fourth Proportional to 1,410.06, 1,945.87 and 780.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.06 : 1,945.87 = 780.58 : x
2. Step 2: Convert to fraction form
   1,410.06/1,945.87 = 780.58/x
3. Step 3: Cross multiply
   1,410.06x = 1,945.87 × 780.58
4. Step 4: Simplify right side
   1,410.06x = 1,518,903.30
5. Step 5: Solve for x
   x = 1,518,903.30/1,410.06
6. Step 6: Final answer
   x = 1,077.19