Finding the Fourth Proportional to 10,393.12, 14,342.72 and 5,677.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,393.12 : 14,342.72 = 5,677.60 : x
2. Step 2: Convert to fraction form
   10,393.12/14,342.72 = 5,677.60/x
3. Step 3: Cross multiply
   10,393.12x = 14,342.72 × 5,677.60
4. Step 4: Simplify right side
   10,393.12x = 81,432,227.07
5. Step 5: Solve for x
   x = 81,432,227.07/10,393.12
6. Step 6: Final answer
   x = 7,835.21