Finding the Fourth Proportional to 9,977.86, 13,769.54 and 5,501.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.86 : 13,769.54 = 5,501.77 : x
2. Step 2: Convert to fraction form
   9,977.86/13,769.54 = 5,501.77/x
3. Step 3: Cross multiply
   9,977.86x = 13,769.54 × 5,501.77
4. Step 4: Simplify right side
   9,977.86x = 75,756,816.29
5. Step 5: Solve for x
   x = 75,756,816.29/9,977.86
6. Step 6: Final answer
   x = 7,592.49