Finding the Fourth Proportional to 3,899.31, 5,848.96 and 977.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,899.31 : 5,848.96 = 977.61 : x
2. Step 2: Convert to fraction form
   3,899.31/5,848.96 = 977.61/x
3. Step 3: Cross multiply
   3,899.31x = 5,848.96 × 977.61
4. Step 4: Simplify right side
   3,899.31x = 5,718,001.79
5. Step 5: Solve for x
   x = 5,718,001.79/3,899.31
6. Step 6: Final answer
   x = 1,466.41