Finding the Fourth Proportional to 9,577.18, 13,213.86 and 5,385.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.18 : 13,213.86 = 5,385.34 : x
2. Step 2: Convert to fraction form
   9,577.18/13,213.86 = 5,385.34/x
3. Step 3: Cross multiply
   9,577.18x = 13,213.86 × 5,385.34
4. Step 4: Simplify right side
   9,577.18x = 71,161,128.81
5. Step 5: Solve for x
   x = 71,161,128.81/9,577.18
6. Step 6: Final answer
   x = 7,430.28