Finding the Fourth Proportional to 5,978.31, 8,953.55 and 5,770.68

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.31 : 8,953.55 = 5,770.68 : x
2. Step 2: Convert to fraction form
   5,978.31/8,953.55 = 5,770.68/x
3. Step 3: Cross multiply
   5,978.31x = 8,953.55 × 5,770.68
4. Step 4: Simplify right side
   5,978.31x = 51,668,071.91
5. Step 5: Solve for x
   x = 51,668,071.91/5,978.31
6. Step 6: Final answer
   x = 8,642.59