Finding the Fourth Proportional to 9,777.60, 13,494.15 and 5,530.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.60 : 13,494.15 = 5,530.35 : x
2. Step 2: Convert to fraction form
   9,777.60/13,494.15 = 5,530.35/x
3. Step 3: Cross multiply
   9,777.60x = 13,494.15 × 5,530.35
4. Step 4: Simplify right side
   9,777.60x = 74,627,372.45
5. Step 5: Solve for x
   x = 74,627,372.45/9,777.60
6. Step 6: Final answer
   x = 7,632.48