Finding the Fourth Proportional to 10,657.64, 14,707.00 and 5,878.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,657.64 : 14,707.00 = 5,878.41 : x
2. Step 2: Convert to fraction form
   10,657.64/14,707.00 = 5,878.41/x
3. Step 3: Cross multiply
   10,657.64x = 14,707.00 × 5,878.41
4. Step 4: Simplify right side
   10,657.64x = 86,453,746.48
5. Step 5: Solve for x
   x = 86,453,746.48/10,657.64
6. Step 6: Final answer
   x = 8,111.91