Finding the Fourth Proportional to 10,656.15, 14,705.60 and 5,876.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,656.15 : 14,705.60 = 5,876.10 : x
2. Step 2: Convert to fraction form
   10,656.15/14,705.60 = 5,876.10/x
3. Step 3: Cross multiply
   10,656.15x = 14,705.60 × 5,876.10
4. Step 4: Simplify right side
   10,656.15x = 86,411,601.93
5. Step 5: Solve for x
   x = 86,411,601.93/10,656.15
6. Step 6: Final answer
   x = 8,109.09