Finding the Fourth Proportional to 6,551.16, 9,826.20 and 3,776.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,551.16 : 9,826.20 = 3,776.10 : x
2. Step 2: Convert to fraction form
   6,551.16/9,826.20 = 3,776.10/x
3. Step 3: Cross multiply
   6,551.16x = 9,826.20 × 3,776.10
4. Step 4: Simplify right side
   6,551.16x = 37,104,713.82
5. Step 5: Solve for x
   x = 37,104,713.82/6,551.16
6. Step 6: Final answer
   x = 5,663.84