Finding the Fourth Proportional to 6,635.60, 9,152.42 and 5,633.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,635.60 : 9,152.42 = 5,633.96 : x
2. Step 2: Convert to fraction form
   6,635.60/9,152.42 = 5,633.96/x
3. Step 3: Cross multiply
   6,635.60x = 9,152.42 × 5,633.96
4. Step 4: Simplify right side
   6,635.60x = 51,564,362.89
5. Step 5: Solve for x
   x = 51,564,362.89/6,635.60
6. Step 6: Final answer
   x = 7,770.87