Finding the Fourth Proportional to 9,878.57, 13,633.70 and 5,631.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.57 : 13,633.70 = 5,631.18 : x
2. Step 2: Convert to fraction form
   9,878.57/13,633.70 = 5,631.18/x
3. Step 3: Cross multiply
   9,878.57x = 13,633.70 × 5,631.18
4. Step 4: Simplify right side
   9,878.57x = 76,773,818.77
5. Step 5: Solve for x
   x = 76,773,818.77/9,878.57
6. Step 6: Final answer
   x = 7,771.75