Finding the Fourth Proportional to 10,634.31, 14,674.71 and 5,853.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634.31 : 14,674.71 = 5,853.44 : x
2. Step 2: Convert to fraction form
   10,634.31/14,674.71 = 5,853.44/x
3. Step 3: Cross multiply
   10,634.31x = 14,674.71 × 5,853.44
4. Step 4: Simplify right side
   10,634.31x = 85,897,534.50
5. Step 5: Solve for x
   x = 85,897,534.50/10,634.31
6. Step 6: Final answer
   x = 8,077.40