Finding the Fourth Proportional to 1,200.37, 1,655.51 and 780.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.37 : 1,655.51 = 780.52 : x
2. Step 2: Convert to fraction form
   1,200.37/1,655.51 = 780.52/x
3. Step 3: Cross multiply
   1,200.37x = 1,655.51 × 780.52
4. Step 4: Simplify right side
   1,200.37x = 1,292,153.73
5. Step 5: Solve for x
   x = 1,292,153.73/1,200.37
6. Step 6: Final answer
   x = 1,076.46