Finding the Fourth Proportional to 10,581.64, 14,602.67 and 5,865.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.64 : 14,602.67 = 5,865.91 : x
2. Step 2: Convert to fraction form
   10,581.64/14,602.67 = 5,865.91/x
3. Step 3: Cross multiply
   10,581.64x = 14,602.67 × 5,865.91
4. Step 4: Simplify right side
   10,581.64x = 85,657,947.98
5. Step 5: Solve for x
   x = 85,657,947.98/10,581.64
6. Step 6: Final answer
   x = 8,094.96