Finding the Fourth Proportional to 10,461.81, 14,437.62 and 5,746.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.81 : 14,437.62 = 5,746.08 : x
2. Step 2: Convert to fraction form
   10,461.81/14,437.62 = 5,746.08/x
3. Step 3: Cross multiply
   10,461.81x = 14,437.62 × 5,746.08
4. Step 4: Simplify right side
   10,461.81x = 82,959,719.53
5. Step 5: Solve for x
   x = 82,959,719.53/10,461.81
6. Step 6: Final answer
   x = 7,929.77