Finding the Fourth Proportional to 9,749.34, 13,454.17 and 5,557.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.34 : 13,454.17 = 5,557.86 : x
2. Step 2: Convert to fraction form
   9,749.34/13,454.17 = 5,557.86/x
3. Step 3: Cross multiply
   9,749.34x = 13,454.17 × 5,557.86
4. Step 4: Simplify right side
   9,749.34x = 74,776,393.28
5. Step 5: Solve for x
   x = 74,776,393.28/9,749.34
6. Step 6: Final answer
   x = 7,669.89