Finding the Fourth Proportional to 9,649.30, 13,300.62 and 7,877.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.30 : 13,300.62 = 7,877.86 : x
2. Step 2: Convert to fraction form
   9,649.30/13,300.62 = 7,877.86/x
3. Step 3: Cross multiply
   9,649.30x = 13,300.62 × 7,877.86
4. Step 4: Simplify right side
   9,649.30x = 104,780,422.27
5. Step 5: Solve for x
   x = 104,780,422.27/9,649.30
6. Step 6: Final answer
   x = 10,858.86