Finding the Fourth Proportional to 10,461.66, 14,437.15 and 5,681.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.66 : 14,437.15 = 5,681.61 : x
2. Step 2: Convert to fraction form
   10,461.66/14,437.15 = 5,681.61/x
3. Step 3: Cross multiply
   10,461.66x = 14,437.15 × 5,681.61
4. Step 4: Simplify right side
   10,461.66x = 82,026,255.81
5. Step 5: Solve for x
   x = 82,026,255.81/10,461.66
6. Step 6: Final answer
   x = 7,840.65