Finding the Fourth Proportional to 1,654.41, 2,478.90 and 775.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,654.41 : 2,478.90 = 775.98 : x
2. Step 2: Convert to fraction form
   1,654.41/2,478.90 = 775.98/x
3. Step 3: Cross multiply
   1,654.41x = 2,478.90 × 775.98
4. Step 4: Simplify right side
   1,654.41x = 1,923,576.82
5. Step 5: Solve for x
   x = 1,923,576.82/1,654.41
6. Step 6: Final answer
   x = 1,162.70