Finding the Fourth Proportional to 10,590.02, 14,614.89 and 6,114.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.02 : 14,614.89 = 6,114.59 : x
2. Step 2: Convert to fraction form
   10,590.02/14,614.89 = 6,114.59/x
3. Step 3: Cross multiply
   10,590.02x = 14,614.89 × 6,114.59
4. Step 4: Simplify right side
   10,590.02x = 89,364,060.25
5. Step 5: Solve for x
   x = 89,364,060.25/10,590.02
6. Step 6: Final answer
   x = 8,438.52