Finding the Fourth Proportional to 10,109.84, 13,952.00 and 5,633.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.84 : 13,952.00 = 5,633.60 : x
2. Step 2: Convert to fraction form
   10,109.84/13,952.00 = 5,633.60/x
3. Step 3: Cross multiply
   10,109.84x = 13,952.00 × 5,633.60
4. Step 4: Simplify right side
   10,109.84x = 78,599,889.27
5. Step 5: Solve for x
   x = 78,599,889.27/10,109.84
6. Step 6: Final answer
   x = 7,774.59