Finding the Fourth Proportional to 1,410.02, 1,945.88 and 780.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.02 : 1,945.88 = 780.58 : x
2. Step 2: Convert to fraction form
   1,410.02/1,945.88 = 780.58/x
3. Step 3: Cross multiply
   1,410.02x = 1,945.88 × 780.58
4. Step 4: Simplify right side
   1,410.02x = 1,518,912.10
5. Step 5: Solve for x
   x = 1,518,912.10/1,410.02
6. Step 6: Final answer
   x = 1,077.23