Finding the Fourth Proportional to 9,977.81, 13,769.35 and 5,501.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.81 : 13,769.35 = 5,501.63 : x
2. Step 2: Convert to fraction form
   9,977.81/13,769.35 = 5,501.63/x
3. Step 3: Cross multiply
   9,977.81x = 13,769.35 × 5,501.63
4. Step 4: Simplify right side
   9,977.81x = 75,753,866.46
5. Step 5: Solve for x
   x = 75,753,866.46/9,977.81
6. Step 6: Final answer
   x = 7,592.24