Finding the Fourth Proportional to 10,109.76, 13,948.17 and 5,632.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.76 : 13,948.17 = 5,632.65 : x
2. Step 2: Convert to fraction form
   10,109.76/13,948.17 = 5,632.65/x
3. Step 3: Cross multiply
   10,109.76x = 13,948.17 × 5,632.65
4. Step 4: Simplify right side
   10,109.76x = 78,565,159.75
5. Step 5: Solve for x
   x = 78,565,159.75/10,109.76
6. Step 6: Final answer
   x = 7,771.22