Finding the Fourth Proportional to 10,225.40, 14,111.70 and 5,688.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225.40 : 14,111.70 = 5,688.32 : x
2. Step 2: Convert to fraction form
   10,225.40/14,111.70 = 5,688.32/x
3. Step 3: Cross multiply
   10,225.40x = 14,111.70 × 5,688.32
4. Step 4: Simplify right side
   10,225.40x = 80,271,865.34
5. Step 5: Solve for x
   x = 80,271,865.34/10,225.40
6. Step 6: Final answer
   x = 7,850.24