Finding the Fourth Proportional to 10,705.79, 14,774.49 and 5,925.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.79 : 14,774.49 = 5,925.71 : x
2. Step 2: Convert to fraction form
   10,705.79/14,774.49 = 5,925.71/x
3. Step 3: Cross multiply
   10,705.79x = 14,774.49 × 5,925.71
4. Step 4: Simplify right side
   10,705.79x = 87,549,269.27
5. Step 5: Solve for x
   x = 87,549,269.27/10,705.79
6. Step 6: Final answer
   x = 8,177.75