Finding the Fourth Proportional to 9,977.98, 13,770.42 and 5,502.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.98 : 13,770.42 = 5,502.60 : x
2. Step 2: Convert to fraction form
   9,977.98/13,770.42 = 5,502.60/x
3. Step 3: Cross multiply
   9,977.98x = 13,770.42 × 5,502.60
4. Step 4: Simplify right side
   9,977.98x = 75,773,113.09
5. Step 5: Solve for x
   x = 75,773,113.09/9,977.98
6. Step 6: Final answer
   x = 7,594.03