Finding the Fourth Proportional to 1,665.56, 2,498.20 and 971.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.56 : 2,498.20 = 971.78 : x
2. Step 2: Convert to fraction form
   1,665.56/2,498.20 = 971.78/x
3. Step 3: Cross multiply
   1,665.56x = 2,498.20 × 971.78
4. Step 4: Simplify right side
   1,665.56x = 2,427,700.80
5. Step 5: Solve for x
   x = 2,427,700.80/1,665.56
6. Step 6: Final answer
   x = 1,457.59