Finding the Fourth Proportional to 9,980.64, 13,772.70 and 5,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,980.64 : 13,772.70 = 5,503.50 : x
2. Step 2: Convert to fraction form
   9,980.64/13,772.70 = 5,503.50/x
3. Step 3: Cross multiply
   9,980.64x = 13,772.70 × 5,503.50
4. Step 4: Simplify right side
   9,980.64x = 75,798,054.45
5. Step 5: Solve for x
   x = 75,798,054.45/9,980.64
6. Step 6: Final answer
   x = 7,594.51