Finding the Fourth Proportional to 1,746.64, 2,410.66 and 1,222.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.64 : 2,410.66 = 1,222.30 : x
2. Step 2: Convert to fraction form
   1,746.64/2,410.66 = 1,222.30/x
3. Step 3: Cross multiply
   1,746.64x = 2,410.66 × 1,222.30
4. Step 4: Simplify right side
   1,746.64x = 2,946,549.72
5. Step 5: Solve for x
   x = 2,946,549.72/1,746.64
6. Step 6: Final answer
   x = 1,686.98