Finding the Fourth Proportional to 1,437.16, 1,983.52 and 1,200.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,437.16 : 1,983.52 = 1,200.78 : x
2. Step 2: Convert to fraction form
   1,437.16/1,983.52 = 1,200.78/x
3. Step 3: Cross multiply
   1,437.16x = 1,983.52 × 1,200.78
4. Step 4: Simplify right side
   1,437.16x = 2,381,771.15
5. Step 5: Solve for x
   x = 2,381,771.15/1,437.16
6. Step 6: Final answer
   x = 1,657.28