Finding the Fourth Proportional to 10,134.38, 13,985.16 and 5,658

Step by Step Solution

1. Step 1: Write the proportion equation
   10,134.38 : 13,985.16 = 5,658 : x
2. Step 2: Convert to fraction form
   10,134.38/13,985.16 = 5,658/x
3. Step 3: Cross multiply
   10,134.38x = 13,985.16 × 5,658
4. Step 4: Simplify right side
   10,134.38x = 79,128,035.28
5. Step 5: Solve for x
   x = 79,128,035.28/10,134.38
6. Step 6: Final answer
   x = 7,807.88