Finding the Fourth Proportional to 10,132.67, 13,984.50 and 5,656.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132.67 : 13,984.50 = 5,656.71 : x
2. Step 2: Convert to fraction form
   10,132.67/13,984.50 = 5,656.71/x
3. Step 3: Cross multiply
   10,132.67x = 13,984.50 × 5,656.71
4. Step 4: Simplify right side
   10,132.67x = 79,106,263.50
5. Step 5: Solve for x
   x = 79,106,263.50/10,132.67
6. Step 6: Final answer
   x = 7,807.05