Finding the Fourth Proportional to 10,518.84, 14,516.40 and 5,802.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518.84 : 14,516.40 = 5,802.96 : x
2. Step 2: Convert to fraction form
   10,518.84/14,516.40 = 5,802.96/x
3. Step 3: Cross multiply
   10,518.84x = 14,516.40 × 5,802.96
4. Step 4: Simplify right side
   10,518.84x = 84,238,088.54
5. Step 5: Solve for x
   x = 84,238,088.54/10,518.84
6. Step 6: Final answer
   x = 8,008.31