Finding the Fourth Proportional to 10,388.64, 14,335.74 and 5,913.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388.64 : 14,335.74 = 5,913.48 : x
2. Step 2: Convert to fraction form
   10,388.64/14,335.74 = 5,913.48/x
3. Step 3: Cross multiply
   10,388.64x = 14,335.74 × 5,913.48
4. Step 4: Simplify right side
   10,388.64x = 84,774,111.78
5. Step 5: Solve for x
   x = 84,774,111.78/10,388.64
6. Step 6: Final answer
   x = 8,160.27