Finding the Fourth Proportional to 10,461.63, 14,437.14 and 5,746.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.63 : 14,437.14 = 5,746.02 : x
2. Step 2: Convert to fraction form
   10,461.63/14,437.14 = 5,746.02/x
3. Step 3: Cross multiply
   10,461.63x = 14,437.14 × 5,746.02
4. Step 4: Simplify right side
   10,461.63x = 82,956,095.18
5. Step 5: Solve for x
   x = 82,956,095.18/10,461.63
6. Step 6: Final answer
   x = 7,929.56