Finding the Fourth Proportional to 9,913.63, 13,680.93 and 5,665.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,913.63 : 13,680.93 = 5,665.27 : x
2. Step 2: Convert to fraction form
   9,913.63/13,680.93 = 5,665.27/x
3. Step 3: Cross multiply
   9,913.63x = 13,680.93 × 5,665.27
4. Step 4: Simplify right side
   9,913.63x = 77,506,162.30
5. Step 5: Solve for x
   x = 77,506,162.30/9,913.63
6. Step 6: Final answer
   x = 7,818.14