Finding the Fourth Proportional to 10,023.10, 13,829.91 and 5,715.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.10 : 13,829.91 = 5,715.58 : x
2. Step 2: Convert to fraction form
   10,023.10/13,829.91 = 5,715.58/x
3. Step 3: Cross multiply
   10,023.10x = 13,829.91 × 5,715.58
4. Step 4: Simplify right side
   10,023.10x = 79,045,957.00
5. Step 5: Solve for x
   x = 79,045,957.00/10,023.10
6. Step 6: Final answer
   x = 7,886.38