Finding the Fourth Proportional to 9,977.85, 13,769.01 and 5,725.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.85 : 13,769.01 = 5,725.98 : x
2. Step 2: Convert to fraction form
   9,977.85/13,769.01 = 5,725.98/x
3. Step 3: Cross multiply
   9,977.85x = 13,769.01 × 5,725.98
4. Step 4: Simplify right side
   9,977.85x = 78,841,075.88
5. Step 5: Solve for x
   x = 78,841,075.88/9,977.85
6. Step 6: Final answer
   x = 7,901.61