Finding the Fourth Proportional to 10,077.76, 13,905.72 and 5,827.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.76 : 13,905.72 = 5,827.24 : x
2. Step 2: Convert to fraction form
   10,077.76/13,905.72 = 5,827.24/x
3. Step 3: Cross multiply
   10,077.76x = 13,905.72 × 5,827.24
4. Step 4: Simplify right side
   10,077.76x = 81,031,967.81
5. Step 5: Solve for x
   x = 81,031,967.81/10,077.76
6. Step 6: Final answer
   x = 8,040.67