Finding the Fourth Proportional to 10,592.83, 14,619.86 and 5,878.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.83 : 14,619.86 = 5,878.63 : x
2. Step 2: Convert to fraction form
   10,592.83/14,619.86 = 5,878.63/x
3. Step 3: Cross multiply
   10,592.83x = 14,619.86 × 5,878.63
4. Step 4: Simplify right side
   10,592.83x = 85,944,747.59
5. Step 5: Solve for x
   x = 85,944,747.59/10,592.83
6. Step 6: Final answer
   x = 8,113.48