Finding the Fourth Proportional to 10,641.84, 14,686.76 and 5,926.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.84 : 14,686.76 = 5,926.12 : x
2. Step 2: Convert to fraction form
   10,641.84/14,686.76 = 5,926.12/x
3. Step 3: Cross multiply
   10,641.84x = 14,686.76 × 5,926.12
4. Step 4: Simplify right side
   10,641.84x = 87,035,502.17
5. Step 5: Solve for x
   x = 87,035,502.17/10,641.84
6. Step 6: Final answer
   x = 8,178.61