Finding the Fourth Proportional to 10,118.01, 13,962.90 and 5,641.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.01 : 13,962.90 = 5,641.95 : x
2. Step 2: Convert to fraction form
   10,118.01/13,962.90 = 5,641.95/x
3. Step 3: Cross multiply
   10,118.01x = 13,962.90 × 5,641.95
4. Step 4: Simplify right side
   10,118.01x = 78,777,885.63
5. Step 5: Solve for x
   x = 78,777,885.63/10,118.01
6. Step 6: Final answer
   x = 7,785.91