Finding the Fourth Proportional to 1,665.76, 2,298.92 and 1,200.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.76 : 2,298.92 = 1,200.28 : x
2. Step 2: Convert to fraction form
   1,665.76/2,298.92 = 1,200.28/x
3. Step 3: Cross multiply
   1,665.76x = 2,298.92 × 1,200.28
4. Step 4: Simplify right side
   1,665.76x = 2,759,347.70
5. Step 5: Solve for x
   x = 2,759,347.70/1,665.76
6. Step 6: Final answer
   x = 1,656.51