Finding the Fourth Proportional to 9,385.86, 12,953.13 and 5,408.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.86 : 12,953.13 = 5,408.10 : x
2. Step 2: Convert to fraction form
   9,385.86/12,953.13 = 5,408.10/x
3. Step 3: Cross multiply
   9,385.86x = 12,953.13 × 5,408.10
4. Step 4: Simplify right side
   9,385.86x = 70,051,822.35
5. Step 5: Solve for x
   x = 70,051,822.35/9,385.86
6. Step 6: Final answer
   x = 7,463.55