Finding the Fourth Proportional to 10,034.01, 13,847.13 and 5,557.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.01 : 13,847.13 = 5,557.64 : x
2. Step 2: Convert to fraction form
   10,034.01/13,847.13 = 5,557.64/x
3. Step 3: Cross multiply
   10,034.01x = 13,847.13 × 5,557.64
4. Step 4: Simplify right side
   10,034.01x = 76,957,294.34
5. Step 5: Solve for x
   x = 76,957,294.34/10,034.01
6. Step 6: Final answer
   x = 7,669.64