Finding the Fourth Proportional to 10,077.64, 13,906.84 and 5,770.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.64 : 13,906.84 = 5,770.59 : x
2. Step 2: Convert to fraction form
   10,077.64/13,906.84 = 5,770.59/x
3. Step 3: Cross multiply
   10,077.64x = 13,906.84 × 5,770.59
4. Step 4: Simplify right side
   10,077.64x = 80,250,602.30
5. Step 5: Solve for x
   x = 80,250,602.30/10,077.64
6. Step 6: Final answer
   x = 7,963.24