Finding the Fourth Proportional to 10,077.97, 13,908.46 and 5,602.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.97 : 13,908.46 = 5,602.58 : x
2. Step 2: Convert to fraction form
   10,077.97/13,908.46 = 5,602.58/x
3. Step 3: Cross multiply
   10,077.97x = 13,908.46 × 5,602.58
4. Step 4: Simplify right side
   10,077.97x = 77,923,259.83
5. Step 5: Solve for x
   x = 77,923,259.83/10,077.97
6. Step 6: Final answer
   x = 7,732.04