Finding the Fourth Proportional to 1,200.24, 1,655.70 and 780.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.24 : 1,655.70 = 780.03 : x
2. Step 2: Convert to fraction form
   1,200.24/1,655.70 = 780.03/x
3. Step 3: Cross multiply
   1,200.24x = 1,655.70 × 780.03
4. Step 4: Simplify right side
   1,200.24x = 1,291,495.67
5. Step 5: Solve for x
   x = 1,291,495.67/1,200.24
6. Step 6: Final answer
   x = 1,076.03