Finding the Fourth Proportional to 9,814.10, 13,543.81 and 5,623.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.10 : 13,543.81 = 5,623.16 : x
2. Step 2: Convert to fraction form
   9,814.10/13,543.81 = 5,623.16/x
3. Step 3: Cross multiply
   9,814.10x = 13,543.81 × 5,623.16
4. Step 4: Simplify right side
   9,814.10x = 76,158,928.86
5. Step 5: Solve for x
   x = 76,158,928.86/9,814.10
6. Step 6: Final answer
   x = 7,760.16