Finding the Fourth Proportional to 10,695.38, 14,761.44 and 5,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,695.38 : 14,761.44 = 5,978.75 : x
2. Step 2: Convert to fraction form
   10,695.38/14,761.44 = 5,978.75/x
3. Step 3: Cross multiply
   10,695.38x = 14,761.44 × 5,978.75
4. Step 4: Simplify right side
   10,695.38x = 88,254,885.59
5. Step 5: Solve for x
   x = 88,254,885.59/10,695.38
6. Step 6: Final answer
   x = 8,251.69