Finding the Fourth Proportional to 1,857.60, 2,784.96 and 1,206.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,857.60 : 2,784.96 = 1,206.72 : x
2. Step 2: Convert to fraction form
   1,857.60/2,784.96 = 1,206.72/x
3. Step 3: Cross multiply
   1,857.60x = 2,784.96 × 1,206.72
4. Step 4: Simplify right side
   1,857.60x = 3,360,666.93
5. Step 5: Solve for x
   x = 3,360,666.93/1,857.60
6. Step 6: Final answer
   x = 1,809.14