Finding the Fourth Proportional to 10,089.63, 13,923.48 and 5,613.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089.63 : 13,923.48 = 5,613.21 : x
2. Step 2: Convert to fraction form
   10,089.63/13,923.48 = 5,613.21/x
3. Step 3: Cross multiply
   10,089.63x = 13,923.48 × 5,613.21
4. Step 4: Simplify right side
   10,089.63x = 78,155,417.17
5. Step 5: Solve for x
   x = 78,155,417.17/10,089.63
6. Step 6: Final answer
   x = 7,746.11