Finding the Fourth Proportional to 9,688.02, 14,534.94 and 4,141.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.02 : 14,534.94 = 4,141.86 : x
2. Step 2: Convert to fraction form
   9,688.02/14,534.94 = 4,141.86/x
3. Step 3: Cross multiply
   9,688.02x = 14,534.94 × 4,141.86
4. Step 4: Simplify right side
   9,688.02x = 60,201,686.59
5. Step 5: Solve for x
   x = 60,201,686.59/9,688.02
6. Step 6: Final answer
   x = 6,214.03