Finding the Fourth Proportional to 10,005.76, 13,807.88 and 5,529.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.76 : 13,807.88 = 5,529.77 : x
2. Step 2: Convert to fraction form
   10,005.76/13,807.88 = 5,529.77/x
3. Step 3: Cross multiply
   10,005.76x = 13,807.88 × 5,529.77
4. Step 4: Simplify right side
   10,005.76x = 76,354,331.55
5. Step 5: Solve for x
   x = 76,354,331.55/10,005.76
6. Step 6: Final answer
   x = 7,631.04