Finding the Fourth Proportional to 10,407.21, 14,362.29 and 5,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.21 : 14,362.29 = 5,691.50 : x
2. Step 2: Convert to fraction form
   10,407.21/14,362.29 = 5,691.50/x
3. Step 3: Cross multiply
   10,407.21x = 14,362.29 × 5,691.50
4. Step 4: Simplify right side
   10,407.21x = 81,742,901.72
5. Step 5: Solve for x
   x = 81,742,901.72/10,407.21
6. Step 6: Final answer
   x = 7,854.45