Finding the Fourth Proportional to 9,356.58, 12,911.40 and 5,377.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,356.58 : 12,911.40 = 5,377.86 : x
2. Step 2: Convert to fraction form
   9,356.58/12,911.40 = 5,377.86/x
3. Step 3: Cross multiply
   9,356.58x = 12,911.40 × 5,377.86
4. Step 4: Simplify right side
   9,356.58x = 69,435,701.60
5. Step 5: Solve for x
   x = 69,435,701.60/9,356.58
6. Step 6: Final answer
   x = 7,421.06