Finding the Fourth Proportional to 10,633.48, 14,674.08 and 5,853.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,633.48 : 14,674.08 = 5,853.32 : x
2. Step 2: Convert to fraction form
   10,633.48/14,674.08 = 5,853.32/x
3. Step 3: Cross multiply
   10,633.48x = 14,674.08 × 5,853.32
4. Step 4: Simplify right side
   10,633.48x = 85,892,085.95
5. Step 5: Solve for x
   x = 85,892,085.95/10,633.48
6. Step 6: Final answer
   x = 8,077.51