Finding the Fourth Proportional to 9,877.57, 13,632.32 and 5,630.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.57 : 13,632.32 = 5,630.18 : x
2. Step 2: Convert to fraction form
   9,877.57/13,632.32 = 5,630.18/x
3. Step 3: Cross multiply
   9,877.57x = 13,632.32 × 5,630.18
4. Step 4: Simplify right side
   9,877.57x = 76,752,415.42
5. Step 5: Solve for x
   x = 76,752,415.42/9,877.57
6. Step 6: Final answer
   x = 7,770.37