Finding the Fourth Proportional to 10,592.00, 14,616.83 and 5,746.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.00 : 14,616.83 = 5,746.66 : x
2. Step 2: Convert to fraction form
   10,592.00/14,616.83 = 5,746.66/x
3. Step 3: Cross multiply
   10,592.00x = 14,616.83 × 5,746.66
4. Step 4: Simplify right side
   10,592.00x = 83,997,930.11
5. Step 5: Solve for x
   x = 83,997,930.11/10,592.00
6. Step 6: Final answer
   x = 7,930.31