Finding the Fourth Proportional to 9,877.95, 13,632.84 and 5,630.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.95 : 13,632.84 = 5,630.56 : x
2. Step 2: Convert to fraction form
   9,877.95/13,632.84 = 5,630.56/x
3. Step 3: Cross multiply
   9,877.95x = 13,632.84 × 5,630.56
4. Step 4: Simplify right side
   9,877.95x = 76,760,441.35
5. Step 5: Solve for x
   x = 76,760,441.35/9,877.95
6. Step 6: Final answer
   x = 7,770.89