Finding the Fourth Proportional to 10,634.52, 14,674.86 and 5,917.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634.52 : 14,674.86 = 5,917.80 : x
2. Step 2: Convert to fraction form
   10,634.52/14,674.86 = 5,917.80/x
3. Step 3: Cross multiply
   10,634.52x = 14,674.86 × 5,917.80
4. Step 4: Simplify right side
   10,634.52x = 86,842,886.51
5. Step 5: Solve for x
   x = 86,842,886.51/10,634.52
6. Step 6: Final answer
   x = 8,166.13