Finding the Fourth Proportional to 9,970.80, 13,760.20 and 5,494.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.80 : 13,760.20 = 5,494.96 : x
2. Step 2: Convert to fraction form
   9,970.80/13,760.20 = 5,494.96/x
3. Step 3: Cross multiply
   9,970.80x = 13,760.20 × 5,494.96
4. Step 4: Simplify right side
   9,970.80x = 75,611,748.59
5. Step 5: Solve for x
   x = 75,611,748.59/9,970.80
6. Step 6: Final answer
   x = 7,583.32